{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from numpy.fft import fft, ifft, irfft, rfft\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"figure.figsize\"] = (12, 6)\n",
    "       \n",
    "import hifiscan as hifi\n",
    "audio = hifi.Audio()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Spectrum measurement\n",
    "analyzer = hifi.Analyzer(f0=20, f1=20000, secs=1, rate=audio.rate, ampl=0.4)\n",
    "audio.play(analyzer.chirp)\n",
    "async for recording in audio.record():\n",
    "    if analyzer.findMatch(recording):\n",
    "        break\n",
    "    if analyzer.timedOut():\n",
    "        raise Exception('Timeout')\n",
    "        \n",
    "spectrum = analyzer.spectrum(smoothing=10)\n",
    "plt.plot(*spectrum)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Input stimulus x\n",
    "plt.plot(analyzer.x)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Output response y\n",
    "plt.plot(analyzer.y)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Transfer function H = X / Y, with X = FT(x), Y = FT(y) and FT the Fourier Transform\n",
    "# f, H = analyzer.H()\n",
    "f, H2 = analyzer.H2(smoothing=0)\n",
    "H = H2 ** 0.5\n",
    "plt.plot(f, H)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Impulse response h = IFT(H), with IFT the Inverse Fourier Transform\n",
    "t, h = analyzer.h()\n",
    "plt.plot(t, h)\n",
    "plt.grid()\n",
    "audio.play(h / np.abs(h).max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2uLldjuFlAEgZYRkABoHfrNmlq+9ZkTQAf/iBP/dY9uMXtuiRV3f0WL6zvlnn//MftLO+uU/6CQBDDWEZAAaBL/xyjd7e06C2JKPIr26rT/qYZ9bV9Vi2dOUO7W9s0xOv70p7HwFgKCIsA8AgUBAMSJIaWjp6/ZjmtlCPZa0d0bCdH/Snp2MAMMQRlgFgEOgMt0dOJiy3h3ssa+mILsvLISwDQG8QlgFgECiIheWG1t6H5daOnmG5tZ2wDAAng7AMAINAfizcNrT0nFrhyXouag1FwzJnygCA3iEsA8AgUHAK0zACvp5puSU2stwRJiwDQG8QlgFgEIgf4JcwDeMnL2zR7G8s93zMzvoWVd75lNbtPhJf1jlnuT3Uc4oGAKAnwjIADAJ58WkYx8LyPy97W4ebvUeaO4PxY6/tSlgWPRsGI8sA0DuEZQAYBCw2o6Kh9STmLMeEI8eCcVvnyHK45/maAQA9EZYBYBAIxcJtsktbn0gk4WC+ztvJLm4CAOiJsAwAA8yP/rhJ99Vs1uHmdjW3R0eSQ7HR4fZTCM0rNh2I3w7Fpl90xPZzoKlNrR1hfebnr+n5DfvS0n8AGEoCme4AAKCrf1u+UZL0L09v0PmVI/Q/t8+Ph+PO799dvqHX+9t64Ki2HTiqypGF8RHlzv1U/dMfVDEsV3UNbXpq7R5t+/Z70/lUAGDQIywDQD9qaO3QOf+4XP983Uy9s6dR504cruvnjPfcfuW2Q5KOjSx3hCMKR5y2H2w+qXbbwxFFIi4+otyRMGe5rqHN83Hf+O16Ta8o0vL1dVq/u0Gv3HX5SbULAIMdYRkA+tGmukZJ0jefeltH28P65aqdXcJyS5JLVK/f3RAPt/sb2zT1rmUn3e5V339BkjS8IEeS1NYR0ert9Sd83IN/2trlfiTi5Ety/mYAGKoIywDQjzpHhC12eovuc4+TXaL6mh+u0MiiXEnSS+8eTKn9zlPN/XLVTv1y1c7jbts5XzpRXWOrxpTkp9QHABhMOMAPAFKwqa5RP+s2+no8nVMe2hIuCvKdp9+J3/Y6S8WBJu+pEn2hsbVDN/74lR7L9xxp7dXjm9tD+t7yDTradvKnugOAgYSwDAAp+OzSNfr6b9dry/6mXm2/rzEaNhMvCvIfNe/GL2PdlsEr61nC7Iqf/Wmb1u460mObul6G5X//42b98I+b9cSaXSfeGAAGMMIygCHvSEuHlq/bm3Q+cKfaQ816s/awag81a/O+xl7vu6ktGnLf3tO7x9QeavHYT3QENpPnP/YlpOUcf/K3h96OLO+LjaA3tPR+ZHnltno1t4f0/Dv7kk5HOdaHFj2/4fjbAEC6pGXOspktlHSPJL+kB5xz3+623mLrr5HULOljzrnX0tE2gOyyv7FNo4pz4/ePNHfoV6t26uYLJqoot+dL2oGWiGZ9fbkk6cPzJuqfrj076X4v+ZfnFXFSMOBTeyiid795jfy9OJAtEsu2e470DMGhcESfXfq6qk8v119WTZAkvesxAt3Y2iEpX20dmQzLx27n5SQPy3sbomHZOae/e+ItjR2er88sOK3Hdi0d0ZC8o/5or9refvCoPnj/yzpr7DCt292gm86foG9/4Jyk29605BVtP9is4ryAVv3dFcoN+Hv280irnnunTjefPzF+QGI44nSouT0+/xsAeiPlsGxmfkn3SrpSUq2klWb2pHNufcJmV0uaFvu6QNJ/xL4DGIR2HGzWo6/V6qqzKnTW2JIe67cdOKpgwKexw9N3IFgoHNHjr+/Sl379pq6dPVYTSwv0yUumaMmKd3Xv8+9qR32z7r52Znz7t3Yd0fgR+Xp0U3t82e/X7tWXrpqhu59ar1sumKh/fXqD5k0p0/gR+eq8InTnAXcvv3tQF08becI+7Y/NJd59uOuIazji9Oz6Oi1bu1fL1u5VWWFQl59RER9x7a6xtXNkOXOjpQkX+ov3p7vOkeXbHl6l596JXsTkA3PGa1RxbpcPF53Pc+uB3oXlZ9fXSZLW7W6QJC1duVPXnTtOP1mxVTNGF2tSWYF21Dfrlgsmxg+SbGwN6VeralU9fZT2NR/7kOGc0y0PvKIt+4+qvDhPlWUFWrZ2r/64YZ/e3t2gpZ+ap3MnDI8fZJkOG/Y2qrQw2OWDXKeX3z2o1dvrdeuFlSrJz0lbmwD6RzpGludK2uyc2yJJZrZU0iJJiWF5kaT/dM45Sa+Y2XAzG+Oc25OG9tPqqTf3aMXWDm32b8l0VzIinW8eJ6stFI5fXUySTNE5lAG/TwGfyczks87l0dsykyn672OLrfPFbnQ+E+eksHMKR5xC4YhCkejtbds6tHnFFvl9ptyAX42tHRqWn6Og36fWUFgt7WGZWXyksbUjusznM5UW5CgUcSorCioUdjrQ1K79jW1qjQWdYXk5ys/xqzUUlt9MHeGIAn7TuOEFCsSeREHQr3DEacv+o6o91KKyoqBK8nM0obRAG/Y2aOqoIo0qzlXtoRaFI8d+Lh3hiHbUN2vbgaMalp+jmWNL1NgW0uSRBbr8jArtiAWJ59/Zp46IUzgS0YQRBaooyVNFcZ5aQ2HtrG9WVWWpdtY3a2Ndo86dMEINrR0qLQxqxab9+u0be1QxLE9+n3SwqV2hiNP7Z43Vq1vrZSbVbNivlo6wfvjHTZpeXqyj7SHNmjBcW/YfVXN7SNsPNivgM51fWapPXTpF86eO1JGWDhXnBfSLV3fovEkjdOaYYdq0r0kNLR0aU5Kvn7+6XW/uPKJ9ja2qmlSqj8yfpLPGluipN/fohY37tXJ7vbbsjwavJ9bslhQ99/Cjr9VKip7d4WMXVepXK3cqFHH66YvHDrr71KVTNGfiCH3qv1brEw+v1Krth/Toa7VyTnp5S/KzS3zn6Xf06Z8f1fypIzV3cqn+vPWg7rnpXLV2hDW8IKj2UET/93/eiIfrxAPw3t7ToKvvWaHivGMvsZ94eJV++tEqNbWFNH5Efnw6xmOfnq/r73tJBxrb1B6KaGNd7+Y+94VQxKn+aLtyAz4dbu5QXo5PP/vYXN38k+iBfuOG5+u17Yf02Gu18aAsSQvveUE+M73ylcsVDERHpPc1Rn8er2yp12/W7NKi2eMkSQeb2tTUFtKdj67VzRdM1Pef3ajCXL/2JpneceOSaLt/eLsuvmzD3uh0l2c+f4nufOxN/f0Tb8XX7fBv0OiSPI0pyYv/rvx69U5tqmvSloTQfv19L2n+1DJVjizURy+s1Omji/WnzQf02zd265UtB3VaeZHmTSnTB+aM15+3HtR5k0o1oiBHy9fXqbk9rPfPGqumtpBGFOTo0dd26Rev7tDq7YcU8JkmlRVoZFGuggGftuw/qvygX5v3RWv64J+2af7UMhXlBjR1VJEef32XSguDKgj61dIRVltHRJ+6dIpGFAblN1PEOb2164hmjitRWWGu1u46otEledrf2KZDze1qbO3QgaZ2FQT9GlOSp3MnjpBzUnlxrn6xcocONkVH0Vdtq5fPZ5pWXqQRBUHl5viUF/ArGPApx+/TqOJcbdrXqAON7ZpWUaSDTW3adrBZe4+0auqoQp1WUayOUEStobBaO6KvhQeb2nWouV1+nyngs/j3johTjs+U4/fF9x8M+BSMfT/c3KG2UFh+n8ln0cf4Yo/3W/R2wGcKRZyCfpNT9ENR0O9TU1tIB3Z1aOcr2xUORxTw+9T9LasjFNGRlpACfpNzrstZZzr/HhMv/y5JFnu3SPb2l/ieaPFlXe8nbpe4j+6762y1s3kXu+ESl/Xswkk51XfwdLz1d/uxJn0urvtGScyZNCL1zqSZ9abjx92B2Q2SFjrnbovdv1XSBc65OxK2+Z2kbzvnXozdf07Sl51zq5Lsb7GkxZJUUVFx3tKlS1Pq38n6zqsters+c/8GxcAWD+BJ1uX6o19OUkuHFHKS36SIkwK+6PdwkgeapJJc09EOp97+Bz7ol8rzTQ3tTg3tx9/WPPp7POOKom9kEec0LGja1+x0sNWpMEfK9ZvOKvPrqsocvbonpC1HwmoJSVuORDS20FRR6FPlMJ/2NTutPxhWQ7tT0C91n7o6Mj/6nBOXl+WZioKm7Q0R5Qekj8/M1X1rjoXQymE+XXtaju5/o02tCQOwHzsrqIfWef8gvledr+Kg6ZPLvS/kMa7ItKsp+pPyxerW3ZllPq0/GNG/XJKvRze26897o53wm1QUNN10elAXjg3omW0d+sU70f6cPdKvBRMC+uHrx57HtOE+bTocLfY3L87XXS9Gg/NZZT6tO+j9SzC6wLS3OdW30+Pv59xyv9YdDKs9HP29/MKcXP3jy9Ege16FX6vros854JO+MT9fX3upJf57+/fz8jRxmE/P7wjpkXe61uOG6TkaU+jTv7/epjnlfr22r+cI+ohc06G2aL+G55oOtyXv45QSn/7hwny9vDukH7+ZfKS+LM80p8KvZ7cf+wWbXOLTB6cH9e+vt8Z/78ryTH8xNUcPrWuX36Lb7Dka0dGOY/sqLzA1tLkuv3OSVJwjNXVIFQWmWeV+OSfVtzptPBRWU4c0a5RfYSedUerXhGKfanZ2aPPhiJranUIu+jsX9Js6wtFgWN/qPJ+zl4BP8prmHvRJ7RFpVL4pxy/tPeqS/l57PbYk13SgxSV9/ehc3/m6FnFO4dhrXthF+xSKJH/N63xdTP03GUPRdafl6PLR7SoqKurXdhcsWLDaOVeVbF06RpaTfR7p/jfQm22iC51bImmJJFVVVbnq6uqUOney5s4P6X9fWKGLL764X9uVMv/CkeLnphQbV2wUIjqC7Fz0BToSGxHuCEdfWZ2iL/aJ6xV70Y04J9d5O+EdwRcfsZByfD75/dGRiz/WrNAll1ysUNipuT2kkvwcNbaG1B6KKD/oV15sHmRbOKxcv195wejoSDjidKSlQwGfT/ub2pQb8Km0MKjChPmyLtbvQMJBUh3hiPY3tsX71xI7OGnCiALlB6NtNbR2aMfBZp1WXqS39zSopT2sypGFCviP/Qn5zVRaGIz/nBpaQirM9ev3b+3VprpGzRgzTG2hsC6aOlIjCoMyReeZ1jW0qq6hTaGI05iSPG3Y26hRxbmaXlGsN3YeVmlhUHuOtGhYXo4WzhzdZUTlSEuHnlm3V5fNKO8y3/PWhBLWNbSqrDDY5TnvrG/WNfesUNg5ffayyXprd4POmzRCtYda9PRbezRmRFBb9h9VwGd65JPzNHdyqaTovN6r71mh+9a0aWxJnq6bM05njS3RNWePkSTdfl1YG/Y26ku/fkNTRhbp7z80R3WPvKbfv7VXN8+doLW7jujqmWN06fRRqnl5pa5feJkk6cb6N6Mj0PMr9dBL2yRJW755TfS/EmaqvPMpSdJnL5+mH/xhkyTp9IpiBQM+rd11ROtjQfb/vXBsfvKSW8/Tr1fXavn6Ov34zTa91lCglduOjWKeN32Cvvj+s/TE9ue1oz4a1m95zwx9/bfRf75dccl83fXic5J03KAsSTMnlWtvwijrqZpYMUJ7tya/IMnrCSG2bFiBLplfJb38v5Kk82dUanXdu5Kkm+dO0i3vm6mHN72gDbELrdz9SqtGFOToUOxczp+7fJoKc/365rJ39OuNx9JnZ1C+4bzoyO3O+ujP8wsLz9Q//Gadzh5Xot/+zcWKRJw21DXq6ntWSJJuu3iyHnhxq26cP13Vl07VeyJOp02v1WUzynXbkuc1dnS5GltDemHjfn1h4Vm64owK7fzZqxpVnKt/vWGWyotz5fOZ/vp6pwdWbNW+xlY99NI2PbSuXTNGF+vXfz1fRbkBRSJOP1mxRd/6/TvR/wT5gyotMt1QNUFlhUG9uq1eRcGAfrlqp2aMLtZjn56vguCxv/+W9rBaOsIqLQx2+dl2jiC9s7dB63c36H3njI2PxEvR0+098ucdKisKKj8noHDE6fTRxXp7T4MaW0M6c+ww7T3SqophuRpdkqfivBwVBv0KRZy2Hzyq13ccVjDg04a9jbrqrNGaNb5ER1o6VJKfIzNTKBxRS8ex0eGOcERtoYjqGlo1dni+xg3P19YDR1VenKtRxbkyMzW1hbT7cItyAz7l5URfF3NzfMoN+Hr1n8hIxKkjElF7KPpVlBeIzzHvfJ0MRVz8tT4Sif4n0GfRq07KScPyc9QejqgwGNCyP9ToggsvVMDnUyjc8+/F7zMNLwiqIxyJH7AacU45fp+Oxs4b7jPrMfCROHDYfQQ4cWHnR4fEdSfaR7LR5vhIdPz+sRHuUx4ePsX38OQfh07wGOcxEt+980lH64+/STDg08svrlB/57/jSUdYrpU0IeH+eEm7T2GbAaEgGFB+wFScx7yyzOr76SBFQdOwWJ0739SS173rsoDfVBYLjCUFyX9PzKxLwJWiZxc40RzeYXk5mjkuOgf43Ikn/leUmcX78BezxnpuN35EgcaPKOiy7PzK0vjtySMLj9tOSX5O/AA1LxXD8nosm1BaoJovVUtS/GfW6VvXRw+0qz/arqNtIU0oPda/qaOK9N0PztKjr9Xqq9ecoWkVxV0em5fj16wJw7X8C5fGl33/xtm647KmHnOoD4w89jL39UVn6dMLpioY8Onx13fp6pmju1yN7p6bZisvx6/zK0vV0h7WZy47TcPychSJOE396rIeHyi/es0Zuuqs0arZuD++rPPy1J0qy6LP639uv1AXfDMaimdNGB5fn+x37qMXTtIvVu7sccGSCaXpmQOel9PzgLgPz5uolVsPxYNvZ99yY9vOGF2simHRGs6tLNWXr54hSaocWdDlMZ1BWYr+Xr1/1lit2XlYy9bu7dLeZTPK9W8fnCVJ2ljXqKfe3KMPXzBJLe1hXTi1TFL0g+7pFcWaMrJQxfk5+so1Z+i6OeN0xuhhkqLB6IOx38vPzclTdfUchcIRrdvdoHPGl8jM9PTnL+nxXM1Mn7xkiiTpvEkj9KtVtbrrmhnxA0R9PtPiS6ao+vRyTSor6PHz+uj8SknSZxacpvJhuT3W5wf98Q/AycwYPUwzYs8hUUEwoNveM6XH8tPKE0bYkvwZ5vhNp5UX67Ty4h7rhhccC+wBv0/Ffp+Ku/2pnjHmWF86X386FeUGNL2i5357y+cz5fr8SQ/C7HydTLKqh86fcXHQVN79CSTh9/Xc6TDe13GK0hGWV0qaZmaTJe2SdJOkW7pt86SkO2LzmS+QdGQgzlcGkH7dQ3J3pYXBHiNwUjT8H+8DQHd5Of6kBxt232ZSWfSDweq/u6LH2S4659VK0leuOSN+2+cz3XT+BP32jT3xU7y9etflKo99QDjem/DZ44dLin6YmDelVK9sqdfUUUX6+W0XxOcFdzduRL5e/PICPbBiq5a8sEWnlRfp9Ipiza0s1c/+tC2+3fypZad0Rb8vXjldpQU58bnfP7hxtq4+e7Ru/6/VXYLvsLyAxpbk6Uv/53Qtmj1WG2Pr3jdrTDxYTq8o1jPr6hT0+6IjgQlGxUZy7/vQefrNml363NI1kqIjS4tmH6vt9IpiTb8yGsg+denULvvw+UzPfvHS6PEIPjthjQN+X5cPIyeycOYYLZw5psdyM9Ppo48fEieWFRx3PYChIeWw7JwLmdkdkp5R9NRxDzrn1pnZ7bH190tapuhp4zYreuq4j6faLgCkIuBxHmEvdy+aqa/9xVm66/G12lTXFA/KkjR1VDSAf+v6s/WeaSM1tiRf2+ubtWztHp2bENwe/qu52nagWSX5ObroNO8zbRTn5ai8OE/TYiOK0yuKdO+H5uiVbgcjVo4sPGFYTpwW0WnW+BL94KZz42G5qnKEcgP+HqPcxXkBmVn81HBjS/L11Gcv1pkJI5Efv2iyTNLt1VOVF/Br8/4mfXf5Bj2zrk4TE/5bUD29XJL0/Rtn6aozR3eZtnQivTmFHwD0lbScZ9k5t0zRQJy47P6E207SZ9LRFgBkQsDvU8Avfe8vZ/dYd/2c8aqqLO0ynWXyyMIe5x/ODfhPOFopHZsW1DmvMRgL9t1D46keZ9B9rmnn/suKuo7wJ87DlZKP7JYWBvXFq06P359eUawf3TJHuw+3dJlaU1KQo23ffu+pdRgAMogr+AFAivw+O+G875PROVLd1BodEe4c8Y309lQGCXpzEFbn1fqG5we7LT+1Ed0cvy8+3QUABru0jCwDAFL3w5vP1Z82HVBlLGh2zo8uip0fdkxJ9AC/Y+dpPnF4Toy7+Tn++FlYEuXEzshwQ9V4bTt4VFNGFuq7z27M6HnXAWCgYGQZAAaIK8+o0HduOCc+n7rzDACdZ1GZWFagV75yuT5dHZ3e0ZtpGIl5d/kXLtHrf39l/P6U2Ah2IDa9Y9zwfH3/xtnxA9cONCY/hzEAZBNGlgEgw26dN0l/eLuux+nGPnJhpfJy/Lp57sT4stEleeqcunyyc5aL8wJdTiW29JPztHLboR6nPus8ddsHT3C6QADIBoRlAMiwu6+dqbuvndljeTDg04fnTUpx78eGlnO6nQGkfFie3ntOz9OmlRfncTAeAMQwDQMABpnOqRUne+Wt7mEZAHBivHICwCDT45Kyx9s2YdNTPbsFAGQzwjIADDYnMWc5MR5zdgsAOHmEZQAYZE4m8pKPASA1hGUAGGRK8qMXKRlZnNur7YMBXuoB4FRxNgwAGGSuPLNC/3rDOXr/7LH6j5p3j7utyfTcFy/VlgNH+6l3ADC0EJYBYJAxs16fAzkvx6cJpQWaUFrQx70CgKGJsAwAg9jPPna+Glo79Lmla3qs+/wV03Tt7HH93ykAGEKYyAYAg9iCGeVa5BGIP3/FdFWOLOznHgHA0EJYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBoAhaNaE4ZnuAgAMCSmFZTMrNbNnzWxT7PsIj+0eNLN9ZvZWKu0BAJL7q4smd7n/nx+fm6GeAMDQkurI8p2SnnPOTZP0XOx+Mg9JWphiWwAAD+NG5He5X5QXyFBPAGBoSTUsL5L0cOz2w5KuTbaRc+4FSfUptgUA6CXLdAcAYIhINSxXOOf2SFLse3nqXQIAnKzu4dhIywCQFuacO/4GZn+QNDrJqq9Ketg5Nzxh20POOa95y5WSfuecm3mC9hZLWixJFRUV5y1duvS4/esLTU1NKioq6vd20b+oc3bIljov39ahR95pj99/aGFhBnvT/7KlztmOOmeHTNR5wYIFq51zVcnWnXBSm3PuCq91ZlZnZmOcc3vMbIykfSn0s7O9JZKWSFJVVZWrrq5OdZcnraamRploF/2LOmeHbKnzlhe3Su+sj9/PhuecKFvqnO2oc3YYaHVOdRrGk5I+Grv9UUm/SXF/AAAAwICRalj+tqQrzWyTpCtj92VmY81sWedGZvYLSS9LOt3Mas3sEym2CwBIwBxlAOgbKZ1byDl3UNLlSZbvlnRNwv2bU2kHAAAAyASu4AcAAAB4ICwDAAAAHgjLADAEMGUZAPoGYRkAAADwQFgGAAAAPBCWAQAAAA+EZQAYAowTLQNAnyAsAwAAAB4IywAAAIAHwjIAAADggbAMAEOAjynLANAnApnuAAAgdR+smqD1exp11VkVWr+7IdPdAYAhg7AMAENAXo5f37r+bEnSgtPLM9wbABg6mIYBAAAAeCAsAwAAAB4IywAAAIAHwjIAAADggbAMAAAAeCAsAwAAAB4IywAAAIAHwjIAAADggbAMAAAAeCAsAwAAAB4IywAAAIAHwjIAAADggbAMAAAAeDDnXKb74MnM9kvanoGmR0o6kIF20b+oc3agztmBOmcH6pwdMlHnSc65UclWDOiwnClmtso5V5XpfqBvUefsQJ2zA3XODtQ5Owy0OjMNAwAAAPBAWAYAAAA8EJaTW5LpDqBfUOfsQJ2zA3XODtQ5OwyoOjNnGQAAAPDAyDIAAADgIavCspktNLMNZrbZzO5Mst7M7Iex9W+a2ZzePhYDR4p1ftDM9pnZW/3ba5ysU62zmU0ws+fN7G0zW2dmn+v/3qO3Uqhznpm9amZvxOr89f7vPXorldft2Hq/mb1uZr/rv17jZKX4/rzNzNaa2RozW9WvHXfOZcWXJL+kdyVNkRSU9IakM7ttc42k30sySfMk/bm3j+VrYHylUufYukskzZH0VqafC199U2dJYyTNid0ulrSRv+eB+ZVinU1SUex2jqQ/S5qX6efEV3rrnLD+i5IekfS7TD8fvvqmzpK2SRqZib5n08jyXEmbnXNbnHPtkpZKWtRtm0WS/tNFvSJpuJmN6eVjMTCkUmc5516QVN+vPcapOOU6O+f2OOdekyTnXKOktyWN68/Oo9dSqbNzzjXFtsmJfXGQzsCU0uu2mY2X9F5JD/Rnp3HSUqpzJmVTWB4naWfC/Vr1fIP02qY3j8XAkEqdMXikpc5mVinpXEVHHTHwpFTn2L/m10jaJ+lZ5xx1HphS/Xv+gaT/JynSR/1DeqRaZydpuZmtNrPFfdbLJLIpLFuSZd1HGby26c1jMTCkUmcMHinX2cyKJD0q6fPOuYY09g3pk1KdnXNh59xsSeMlzTWzmentHtLklOtsZu+TtM85tzr93UKapfq6fZFzbo6kqyV9xswuSWfnjiebwnKtpAkJ98dL2t3LbXrzWAwMqdQZg0dKdTazHEWD8s+dc4/1YT+RmrT8PTvnDkuqkbQw7T1EOqRS54skvd/Mtin6b/3LzOy/+66rSEFKf8/Ouc7v+yQ9rui0jn6RTWF5paRpZjbZzIKSbpL0ZLdtnpT0kdjRmPMkHXHO7enlYzEwpFJnDB6nXGczM0k/lfS2c+57/dttnKRU6jzKzIZLkpnlS7pC0jv92Hf03inX2Tn3FefceOdcZexxf3TOfbhfe4/eSuXvudDMiiXJzAolXSWp385aFeivhjLNORcyszskPaPoEZkPOufWmdntsfX3S1qm6JGYmyU1S/r48R6bgaeBE0ilzpJkZr+QVC1ppJnVSvqac+6n/fsscCIp1vkiSbdKWhubzypJdznnlvXjU0AvpFjnMZIeNjO/ogNDv3LOcVqxASjV120MDinWuULS49GxDgUkPeKce7q/+s4V/AAAAAAP2TQNAwAAADgphGUAAADAA2EZAAAA8EBYBgAAADwQlgEAAAAPhGUAAADAA2EZAAAA8EBYBgAAADz8fw5zFlza47dkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Inverse impulse response h_inv = IFT(1 / H)\n",
    "t, h_inv = analyzer.h_inv(\n",
    "    secs=0.05,\n",
    "    dbRange=30,\n",
    "    kaiserBeta=5,\n",
    "    smoothing=15)\n",
    "plt.plot(t, h_inv)\n",
    "plt.grid()\n",
    "# audio.play(h_inv / np.abs(h_inv).max())\n",
    "# hifi.write_wav('IR.wav', [h_inv, h_inv], audio.rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Correction factor that h_inv applies for every frequency\n",
    "corrFactor = analyzer.correctionFactor(h_inv)\n",
    "plt.plot(*corrFactor)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Expected corrected spectrum\n",
    "sp1, sp2 = analyzer.correctedSpectrum(corrFactor)\n",
    "plt.plot(*sp1)\n",
    "plt.plot(*sp2)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Setting mic calibration or target curve\n",
    "calibration = [(20, -1.5), (150, 0), (4500, 0), (10000, 4), (17000, 0), (20000, -2)]\n",
    "target = [(100, -5), (500, 10), (1000, -10), (2000, 10), (4000, 10), (10000, 5)]\n",
    "#target = hifi.read_correction('house.txt')\n",
    "analyzer = hifi.Analyzer(\n",
    "    f0=20, f1=20000, secs=1, rate=audio.rate, ampl=0.4,\n",
    "    calibration=calibration, target=target)\n",
    "\n",
    "# Interpolated calibration/target curves\n",
    "freq = analyzer.frequency()\n",
    "cal = analyzer.calibration()\n",
    "tgt = analyzer.target()\n",
    "r = analyzer.freqRange()\n",
    "plt.semilogx(freq[r], cal[r])\n",
    "plt.semilogx(freq[r], tgt[r])\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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M9iaxusEt/baA64kuViMH3gYRmUEOIsKTWhsu/iB7YUVD0xHDaR2cih2eBpBbN3nSO27/1txQ2fGNR4+stkNTSVm86azkuu0ZkULVxV2ATEYQDPsv8N8Yx5Z47u2eZyAes6IoiqIoXSRRxWo0b5svCv3OJS/SftxUf+B+X9QGPa/txGptuLgmVsEt4wfHNKo2XPx+9sIKAJqOGrls6VWTqmNGVhRFURRFUfaYvWmcVb/TyVKkI06wB/0XaGvj6ovVhYH9W/ag3FgM6ULczlAvo6IoiqIoShQSVaxGw/cC29pw8UvBMQxrw8X/rA0X17r11cBpyLBQ/v7O2k/67CJWsxdWxBKS3SlWFUVRFEVRlCgkqlgNisZHkN71N7nt4NicUYebqg0X/8+1Jf0ZMjTR7pQbC7+tq4rV7kE7WCmKoiiKEpNEFatBNtWGiy8B3nXbmYF9k4g9nSq14eKf1IaLD4i1PwpRhVP2worpgU1/RqB+1QzA87zUzmN1K31+zIqiKIqiJD6J2sEqGnVID/vb/YDacPEG2tqodgexvHz3Zi+s+BcyIH0zMtNQf/Osfg/4dV8boSiKoiiKEmSvEatubNJP9XAxHVVJzwdORWYZAhiWvbDimLrJk97ohnJ3ehkXlOd9CVg0pahmZQfxe4L+Jr4VRVEURekHJKpYNTHWe7PcSE51S/+c/QzIzF5YcRIyxefzwM/rJk/69x7aMA9p8nDEHubTVbRaXlEURVGUhGNvaLPam8QjjP22nX7b2ZeQTmAnA3/qpnL338189gQVq4qiKIqiJByJKlb7qof47pZ7nlsuDQZmL6wYnr2wIjl7YYXJXljxXPbCin/GWW5fHH9r51H6B7NLpj04u2Tal/vaDkXpDYwxVxpj3jHGvGuMucqFjTTGPG2MWeKWI1z4qcaYt40xrxpjDnJhw40xTxpjdOQORVH6BBWr3VvuzqlXsxdWDEc6fzUDXwQKgc9lL6w4MI5yB4JY9T25fXGsJcDf+qBcRelVjDFHAN8ETgCOAqYZYw4GQsACa+3BSMfVkEsyC5lk5UfAd1zYDcAt1lqtfVEUpU9IVLEaJFHarMZDU2D9lMD6Q4H1SXGUa7IXVkzKXlhxZ/bCit7q+NTbL6K+FKuKMlDIB16y1m6z1jYDzwKfAz4LlLo4pcD5br0JGcs6E2gyxuQB4621z/aq1YqiKAFUrHZvWcGZsrJjxDk6jnINMAe4HJi8hzbFi3pNFKX/8Q5wujFmlDEmEzgX2A8Ya61dCeCW+7j4twK/B64C7gJuRjyriqIofUaijgbQq2QvrDDI0E3D9jCrVpffZmBHjDgHBso8CvjCKVxZ0EwKVzLbj5ME5Lr1g+ItPHthxVHAZmRkgm/VTZ40P0a8fwFpwNdmRNgeiHM0kFE3edIL2Qsr/I+aI4B96iZPeiZemxRF6TustVXGmNuAp4EtwFu0/6iOjF8BnARgjDkdWCGrZh7idZ1lrV3V03YriqIESVSxGpeHM3thRVLd5ElxtbXMXliRAoyumzypzm0bgLrJkywynWt3dLjJzF5YMRQRvtGq75cAw936/yFtyXjBnA7Ah/ZRRrGWLOoNMvEAwMExjicL8YZ+ChmN4Gzg38gLJRXwshdW/Ns/P9kLK64D3gYqaesQtrI+fTArho9mzdDhJ2QvrEh2eQ4H3nDpxiDelkt8m7IXVpxaN3nSC1FsMsBpQDrwjDu3cZG9sCIXWFM3edLWKPsuA0YCv6qbPKklEJ5aN3lSU2R8RVHasNbeA9wDYIy5BVgGrDLGjLPWrjTGjANWB9O4zlTXI+277wJuRD6grwB+3HvWK4qigEm0NvPZCyuGpL6+9pnktQ0nArSOSFvSeMKYBYincjUwGhjrop+PDB1VCXwIbEM8l2cDDYjnsgIRiWcB44BqRJDl0n7q1u5gNXC6KwPEK/Ew8oD/GvAV4EwguaNMSm1J83QzL/ghsRQ4qW7ypBUA2QsrzkcEaj2QBXwGOAf4bkRWTcAfkTazC13YDuQjZQ5wZUT8LcAi4KNAXo+7/IOscPnUIYJ7E/BP4BBnD8AapJPGZOA2YLwr9wUg/YWnNv8p1TL14pMz/7l4WPKxyHBdm5A2dYvdseU4m77v8lwGvOfsa3I2bnVx17l9dyDtgocgM46dBfwd8TinAe+d+Mazf20YlE7F4SeWAhOAj5Gxcpe57aHA54GNyLU1xpX3gVs2Id6pZpdvHXAkcm1uRa7BJMRb/T6wHPkAGAYMdufoAHds24FGt8x0eWx358L/GWfTCHcek5xtS135qS7PTGdbI3KNG/dLRj40MoFV7r/Z7vJJC/xSXFz/Z4AWdxxNzpa0iF+q+1kXt9ktG90yKSK/3SHeh1RfxOvJB+junq9f102etHxnJsbsY61dbYyZADyFDLP3I2CdtTZsjAkBI6211wTSXApkWWvvMMY8AlyLPDPPsdZevZt2KYqi7BaJKFZzU6o2fpTyiTjYWrIzGpuOGrkJafQ/GBGkaxBR0YKIlLER2axGXuz+mKibkZdtEm2ezT1hG+2F7gWIiPgNMm3pXS78VaAY+CpwJ/AA0tPW54eIiD0smPlZ9gn7tDnHuOPw25JdfKW9PenPfGvLJjP8i8DFe2D/dxHP7h3O3mj8GTmH57vtHyBCcgIyIcJhEfEbkBdhOXBcJ/bZJGs5ekOLeX1kCsCLwH+QHsvnsGtb6nmI1/gzQAFyrocgHvH1iNd1DHAi7f/fJsRDfKJfLmCSWpoZ1NjA9ozBS5FraT+XPsg7Lv3hyP+QjgjJjmhBRNkq2jzckdemRQTtRy7PDET0ZSACcq0LH4qIW9/D3ogI1BWIIBzp7Pav8XqXPtXlZ1xZvohsRK7bsUT/SLO0CU3/Z5H/IsnZ4X9A+fn5wriZNlGc7OKlunQ2kN/ujDgRr2Dri3hdyWt3H7S7k+6UusmT3t5ZuDGLgFHI//V9a+0CY8wo5CN2AvAJcIG1dr2LnwmUAVOttU3GmELgbuS/vshau3g3j0VRFGW3SDixCrB/qOwOI95ILNz/cbj4YtduMrNu8qQtsHNoqM11kye1ZC+sGIe8hBuB1rrJk6qzF1Zk0lalvapu8qRWl8cEREzkA28i7bNGIR7EeFmMeBF9jkKExMfAK4joAni0bvKkz/mRshdWlCLCFaRKvhh4Bjg0RjknIx6+H6bb7a/uMBnHR+xvpU3YLUdE3xcRb/MdiCj6HSLuAPKQF9l9fgbX/vwWm97cyL8LTn5y6cix/wOmIiMZnIycn1OBbXWTJ70SLDh7YcX+iKD6u8v3nLrJkxYE9ucBjyEC9yLknP/V5dt4xMaW06uGJY0a02BfqMtIOj2ier8Q8Tw+BGTVTZ7Uro2ca2oxrm7ypMUR4eNcWS8hnvbtdZMn1WcvrBiEvKgzgcOu/oP3ckpLM7PmzTcunUGui/0QL3wDUF83eZLNXlhh/CVtgi34G410pnvXHeOQusmTNkXYNAy5PjY7m7rSPGIQQN3kSQ1R9vkC0QbPXyf5GUQYpyPXTyPQ0Fl6ly4daIy3LEVRFEXpDhJSrOaGyu5EesID3FUbLr68o/jdQfbCijKkp2wkWxGPbpBnkLaiPrl1kyd9nL2wIvJk3lM3edI3AmU8AFwIfLNu8qQ/urATR9h1D28wo3KilJ3ixPgLiMgLcidwHeJNS0G8W+MQL8lVdZMn3eXyH4144x6rmzzpi5EFeJ7n23y553l3ZS+sSAXG1k2etCyKPbuQvbAiDWkLvKKDOJlECKJloUVPtMDZyXBuTrjwiXjK6i5ml0yzwE6xqiiKoihK4pKoHayChDqP0i18EfHOfhQRHilUQbxoQbFaHyPPzRHbNwH7Iu07AaibPOnlBeV5v33afvq21zmBc3mMoWzmevOLiQFxVzLMbrxvOBtPn8ajS+42Vy0D7q6bPGmb2+93MlqRvbAivW7ypOZA/muzF1ZkI569jmh18ZuQtptxUTd5UiMihjuKsy1aeIcNdxVFURRFUUhcsbrT41UbLt6ld3hPUDd50nagNnthRTzRP4nYjhSlv0Nmf2nnuaubPKkaOCNKfuYsnuQsngzGfT+wvnRBeV4I6Zy08SeT7y2KZVhQqAbC1seKHyDxXOyKoiiKogx49oZJARKJs5Be31uCgVHa8L3llkPjzDee6uiMLsTdHfpKrGpVvKIoiqIoMUlUsfp6XxsQg9frJk+qpK3afyHSKcfnaGQaw41uO4v42EWwLSjPO3ZBed6gQJAvVnvqP+ur6VYVRVEURVFikqhitbTzKL3GhsD6Rrd8BPgtcFGwI1Ld5EkVdZMnPYYMWQXwaJxlRPMuvubK8MmIEqc72Z1hhboD9awqiqIoihKThBSrteHiRPG6jUIGwl4IbPGHHKqbPKmxbvKkKyKHVPKpmzzpQyA9OERUJ8QSbMERANI7ibun9LZYTZT/WFEURVGUBCZRO1glBH7HpOyFFWchA613Je0u42J2QCwBekRgvac9qyoeFUVRFEVJOFSsxoHrQLW9r8pfUJ5XgMwmBf3Hs+pzDzKofr9nzozyE5C51n8wc26RfhwoiqIoShyoWE0MYgrQBeV5w5HZrnz6Swcrn8jpSPszL7vlD/rUCkVRFEXZi1Cxmhh05C2N9DqaBeV5VyMTASQjQ2l9eUpRzZ42E1BPX++xJ3PFK4qiKMqAIiE7WA1AOhKrT0ZspwO/QkYK+A3wddo6X+3CgvK8IQvK8w6Iw4aDPc8rjiOesufoCAjKgMAYc7Ux5l1jzDvGmAeMMenGmJHGmKeNMUvccoSLe6ox5m1jzKvGmINc2HBjzJPGGL1nFGUAo2I1MejoQTwhYvvAaJEWlOeZwHrOgvK8ogXlefnA3cCHC8rzjunEhuuB+fEYq+wx+uJV+j3GmPHAFcBx1tojkJqgC5EptBdYaw8GFtA2pfYs4AvAj5AZAAFuAG6x1mpNhKIMYFSsJgY3diFucozw4AQCHyEvgfeAQ1zY13fDrp6kT14+s0umJYJQTAQbFKU3SAEyjDEpQCawApk4xR9LuxQ43603IaOeZAJNxpg8YLy19tletVhRlIRD26z2HzKBHW49+L/6HyRHEAcLyvNG4CYkmFJU85tusy5x6EuhaF35KlaVfo+1drkx5pfAJ8hoKk9Za58yxoy11q50cVYaY/ZxSW4Ffu/iXgL8EvGsKooywFGx2ocsKM87EKjppuwyF5TnNQD7RoT7ntWCBeV5ZkpRzU6Ppud5xphWrG3nYC9Emhr8GmkTGzcLyvNGA6lTimpWxtg/BJgKPHoo93Yl6+4kEYRiItigKD2Ka4v6WeAAZPa/vxtjvhIrvrW2AjjJpT0d8cIaY8w8xOs6y1obdSIWRVH6NypWd4MF5XnJQGtQ+HUS/wzgrSlFNRvdti8az+9GszKA+4AzIsKz3HIkMGJBed4WpNnBj04rZJ4xUPXe6axdu78f/yC3bIm34AXledcAQ4ArgWELyvMGTSmqaXT7koDhU4pq1gMe0i7t8dbkHSapJR1rWiLzmoSI5BmIkP8qUI14XX40pajm+XjtikGXhOKC8rw0/1i6ERWrykDgU8BH1to1AMaYfwKnAKuMMeOcV3UcsDqYyHWmuh4Zk/gu5HmVi7R//XHvma8oSqJgEq3duhM32Zc9dedygHumXlGIfGHXIgPjNyNV2wciX+tJSHvNrciYnSuQ6nB/EP/GKUU1DS5fi4i29YgH8kjgtSlFNWv88rMXVuw8IX+zXzjWrb7n0s5wZR0H5CPi7PkpRTWNroPTJcgDdogr51LgM8jDtgb4ByIGP7+n5ykKxyHV9z63AddGrBcino5243yuXbsfW7aMZOknBRSeft8vA/vPAl6fUlSzwY+7oDzvG8AS4NvAg8DzwLoIW8LAP6YU1by2oDzv58gL5kzgAWCcH2nY8tPYNO5FSGr5ogv/kzuGfOBhpMPXvYF8P0I6aGwBVk4pqtmwoDxvnMv7CJfuJeDvwGZg+5Simq1Bw2aXTEsBmkyS5ahvVn8eKHBl/w25nqqAw4DFwDXAT4D/Ax4FVgIfI+1/m4FNyPX3EVAxpahms7vOkoBzgI+nFNW8vaA8Lw1orv77/zUnpW4340/53QGD93k/CxGtH0wpqtkSOL/5wHjgDWfXUOAdYGusj6MF5XmDket9CDJFsAXqI/43gzQVGYfcRxuABvdrAUYDqe7cbnW/7chH0FD3G+3C1yACw89zsMuj0f0aphTVtLrjHuXirJlSVLMpiu3JyEdzCjIxRUNgO83lvdGFp7nwZPdLcee6GfG8tTqbmp0d/v6+oC8/SPqq7KYpRTU7J08xxpyI3NPHI9fSvcj9PQFYZ60NG2NCwEhr7TWBdJcCWdbaO4wxjyDPrlzgHGvt1b10LIqiJBCJKFbHA8sue+pOAO6ZeoW/awcyRJNFXkqxOhpFYxkyXmkj8uJsps2rvA4RuGnA9ovNPyb5if5mv+CvbkJeAENj5F8D7NPB/t7g+8iQVj6nIULyH8Cf2bWn//Muzk7efussjjzq6YeALwWCS6cU1VzqBNFw5FwGeR04luhsZtdzcioiAj8bJX4VIjirgYmB8HXAs7QX+R8DVyNeWH/EhI3ORp9PgKeRD4Z3gNdsK6M/XjD+68P238zIQ3ZqpyZEqIGIscG0tS+tp807DXINRZt6dzWwFDgaEXzDIvJe09KUPiY5dUdkulbgLeRDKzPC/kj8a78J2ObOwSh3/MFj8FmBiLUh7ph6S8S0Iucpckg1X0A2OVtSe9Empee5d0pRzdeCAcaYm5AP+GbgTeAbyPX4EHLdfgJcYK1d7+JnAmXAVGttkzGmEBnRpBG4yFq7uLcORlGUxCERxWoWcNFlT935O4B7pl5xNvJQOwwRSr4IeBt5UW9HvC4jkJfzeOSln0Sb5+cQ5EWfhnhJhyECsw55ePrCpOli84/PAEy1ZQum86e/uLKmIA/bh4FJwMnALYhAvMDlk43MUHQnMvzKAYgnrsal+yUiuj7tbEimvSCLh0jh9FvEu1uBeMqCTQAOBNa683M88EJg35NI9drjMcp5ChFdY4DlSDvTd4FFiHc2kqAoDTs7Tg7svw8RqbOnFNXMAXhrbqiiJW3TUU0Z69gyNugQ5l2k3dovEW/xLVOKav4J4Ibf+gIwGbkespAPiW8jonkFcDnSZCAe7kC8zluQF+p+iOf238jL8R3E4zrG2bIP8v/9A3gREWOpiMC+DrnW/oNcX88g1+JoRFgevuGDM0oaN2eb0Yc/dlVy2vY65JorAE5ArpWNyLX0BnCUW9+EXCeDkGs6CbmOhwB5yDX1rtve4s6BQa7HgxCP52a3bzNyTaxFRPEg90tx+TQiotb/ZTrbfW/rGhc2xp2LVhe+jbYaDt8bOgi5Xje49L5Ht9mdM4uI1ibaPKPJLl0wbJuzNc3Z1+yOqcWtt9LmiU12+fpeWT9uX9GXD9e+KPvdKUU1keNCK4qi7DEJJ1Z9ckNlzwCDa8PFJ3cauRsJNAO4vG7ypLs6i++3aVxQnpc5pahmWxzxRyIv8AxEBFqkijkavgj2WY4IIJ9bpxTV/GhBed5sRDgHGTalqGazK3N/pBkFQBHwP0RwRHpJff6GtBW9kvbeWp8il34cIgb+CryPiJQsVwWchHga90XE2GvBauxloUWPAZ+xtLJ46tf3R4TNVcDDU4pq3o1h107cMf0A+NuUopqXIvYdhAijVuAY4B7kfI/5uHzcamvNVqwh91PLk6cU1bR2VlZ3MWdGeQsi6obOnFu0pbP4iqIoiqIkcAer2nDxp/rahnjwO9/EI1RdvPVudRvw6ILyvKM7iL6a9mJ1De3FapNbfhAlbbCt5iduWT2lqGahW1/+nyfzJy9ZfPLCww5/li2bR9LQmMHIkcurjOEWJzj/jBOrW7aMYMiQDUsR0bmQCFxby2G++HPpzwCOnlJU82qsAzQkMaWoxrfvpljxIplSVPMx4kWNti94Pl53y63A1tn/N21n1fSUW57rNaHq0CpvRVEURekiCStWBxAd9TT3vW9+R5cHkWYIkWl36bgS9BhOKaqxC8rz8hCP7k5eerHkRVl+kaamdJyWOtbzvO0u3cYF5XlJi567pBUshafftz8x2gq7zjwbIsI+ILqQ7ksSQTAmgg2KoiiKslegM1jFprfaR6zvYJ/fs/bPwNnALyL2r3XLpEC8qEwpqvkw2DvcYQCamjII6KfkiHTWjzqlqMZOKapp7sBeJT5UrCqKoihKnKhY7WPcAPrHAJVRdme45fIpRTVPOm9pdWC/3zPpH0i7zOu6WHw00dSVURb2Rvp6Bqu+tkFRFEVR9ipUrCYAU4pq3qRtqtQgfs//4KDZhyOC8qApRTWvu/TbphTVfGNKUc0qpDd4vIPYRxNNeZ7nTYoW2fO8/tBsJBGEYiLYoCiKoih7Bf1BfPRHZiLDGJUg4rTK3xFoixprmtY84v8IiSaaXu9gXwYy/FF30FfDUCSCUOxVG6om5mcgHfq+mV9d9cfeLFtRFEVR9hQVq4lDUMBsnVJUc/+C8rwXgVeRMT3jYkpRTTQPbTxlxkMm3SdW+4oBJ1aRMVFBZuNSsaooiqLsVahY3ZXfAd/pg3J3ETBTimo+An7em2V2QmY3lp2YA/z2DokgmBVFURRlr0DFamz6Ukz1lpiJWY7neYcBi2nf4ao7xWpfMZA7WA3kDwRFURRlL0U7WA1sIueSD/IXZFrWYLOCdmLV87whnuftrvDqK8G2s9zZJdMyOorYGzYoiqIoitIx6llNTHpLzPy0g33JyLSqQQZ7njccGfz//4BvAxchkxV0lb76UAqe22OB5/vYBkVRFEVROkA9qwObIzvYNylK2O20zVL1bbc8IVpiz/OM53k/9jxv3xj5J4JYHWgjEqhIVvo9xphDjTEVgd8mY8xVxpiRxpinjTFL3HKEi3+qMeZtY8yrxpiDXNhwY8yTxhi9ZxQlAVDPauJgYqz3JF2djer4KGGr/BXP89KAHwMFwDykc9gPgBFR0iXCh9JAacM5UI5TUbDWvo/72DbGJAPLgUeAELDAWhs2xoTc9rXALOALQC7SuXYWcANwi7VW7x1FSQASQTAkGong9epxGzzPuw44sxuyCl5DFyPDI32OtqYBwz3PG9RRumWhRcXLQovSPM870PO8Y7vBpo4YyJ5VRRloTAFqrLUfA58FSl14KXC+W29CxpDOBJqMMXnAeGvts71sq6IoMVCxGpu+/KJ+rxfKuKWb8gl2uto/RpxDo4QFr735wK3AAuA1z/OyosTvLoJCsTVmrJ6lt8WqimNloHIh8IBbH2utXQnglv74w7cCvweuAu4CbkY8q4qiJAjaDCABmVJUE3MSAM/z0j3Piznwv+d5SZ7ntbr1IuBAz/P+6LZTEREezdO5u2S6EQGmA4fFiHMY8LazYSyQc545buhgO4jBpANgsQch1XAgzQg67fjkPLa5wFbgm8Bsz/M2RYmXhLywFg0xSQ8au1Oj2oh42cAWz/O2RIRti5bvHqDiUVF6GGNMGnAecF1H8ay1FcBJLs3pyJTVxhgzD/G6zrLWroqdg6IoPY2K1cShozFPRyBtqj4BnvQ871zP854I7B+KeATeBW7yPO8i4F+IpxLP8z4ATgNuRP7zZ7rR7kykfdif3fZGYLhb3wQMAw5xdvwFuATgsUGvgYVvNEwBYAdNaYE8JxJFrHqel4yMUjDa87wVyEvoRmAtMBpowHmMnYC+FngMGAd8CfjSlkOP/tHgJW/RkjmU1vTMg4BXXPwc4EOgxvO8w4E7gP2AQmCz53lHBEVshF1jXZxtcZ0xMM6+fYGV/sdFRJ5TgMHA457n7amXX9vdKQORc4A3AkJzlTFmnLV2pTFmHLA6GNl1proemeb6LuTZkgtcgbTFVxSljzCJ1n7cDY00A/H+pbvfIEQEbUU6BbW48KFIdXIT0OiWTW5fGvKyH460R6p3aWuAfOQh9CYyfWiy25c1v+Dks5aNHHvUyTWVa45aVrMUeM7FyUfE4ilArct3BLCGNqH0AjDe2bARGVS/BRE9xpUzDCh28a8DxgA1J570UGlaWsN+AIueu+RVF38J8DriNYysSn8IeBSoBP5E9M5PvcFTwG+Bx932fERsHoR4W3+DHGt2tMQ5LaM4pGUcg236c48Peu30wK6bgRt8oeZ53uXAjxBhegTwZaTz1jERWTYjAvQR4BcuzP/vn0aqBYO8h7RfOwv4lAv7DVIlGKTOlV3l9g1Fhu/anzbv7iLgbuT/vR5pEzwEOUfpo+tOfR9IWbfPS/+2SS1HABOApcA7Lt/hyHWbgXyc+PZVIUL6GOBEZ4tFPgbeA/4GHI5cM8cg5/oZZ1Pz0E2bhuy7YsVtTampWz7My3sQyAGWud9Sl9dopE3fx8h1PtLltwbYjoy3m4TcU/XAOiDP2boVOMDFT3X2LXXnPMudqyxXbiPgi3rjjjfdhTUC613eI5APoSTkHrGBOE1RfiAfYq0uv0zkfmtBPGW4PFpdnsluGWyOkuKOJ8XZth2599PccfnxjfsF1338MmyUXzCciDSxtjuL6xP5sdvRtomx9Ncjf53ZFrnsbN+e2BxrO+R53vZ2EYx5EHjSWvtnt/0LYF2gg9VIa+01gfiXAlnW2juMMY8gH7u5wDnW2quj2K8oSi+RiGI1B3nRgbyYGtxvOLt6ghuQl1FalH3+y20D8tIZhbxwhiIv2w8R0RMcGH/HswdPSqnaNzflmI+r3zihtnoD4lnzX8DjkJ6lyYgYrUeE2QfIS3wi8rXejLxsow06vw2pEj8quP/oY+YzZIiMCrXouUveR17Ah7hj24KIiMMRcZJP/FXJa5CXfXfzK0Qgn4p0qvKnhf0d8Hfgq8BlyH8ZHL5qCs7jGyTTDtq2zTREzpB1uIs/Aem8NW4P7L0QeJjWln+SlHxejDghpNPFScj5vxvxzBYiwvNMF68Zub5aEAH8BjANGbe1Q5Ka02lN2QHi+X4bEZ9HIOfIItdVCiKYVyHeoTzgYFfuA4gYS0LuiZOQDyAfX0ge2K7clhaSW1pam9LS1gArXXn70J63ket2X0SYJ7ntWDUwrch5GoQIX/9Dchzt2zLvQESff+8Mpk20Nbn9Gch9NhoRtpsREWydLdblmRr4pQXWcXklI8+FLc6+tCjHCW3/X1A8tjhbmlzawcjHRkPg2KIJT/8XFHhJRBd+kf0E9kSgGbombLsiNCN/sWyLJXg72renNkfbzvU8r35nIcZkIs+eA6219S5sFPKRPwH5ILvAWrs+EL8MmGqtbTLGFCL3fyNwkbV2MYqi9BmJKFaTkJdfQ7B61FWbpgR+OzzPa4rY77/AGoDmyOpTF2cUsNHzvGY31JJBHkgpnuc1ZS+syEUeaOfUTZ60zvO8IS7fjchLeGW0almXd3rw697zvGMQYZENvIY8XFd5ntfoed5RiAh6Hcg/5dT7r0lObjkUYNFzlyR5nmedcB+DPFg3IR7nB936o8hLfRvyMv8K4hlsRUTV7cjL/VikCnwfYCoiLv/X8b/QOW4c1ZMRb/ISREy5Xd5NgXjBc3W953k3d1KtvQ/iufxRlH2VyMdHPnJe7kH+6+8C30dm3ZqINAU4HXgLuBSY4HneYwC/+PL52cbaldhWth1w2O9aB2U8BVyOXBdnuPzOBD72PK8q4pgPRsTbPERcTfE8793A/mmIt/dZxDP6EvAiIkbXDdo+5qdNaZuMsUnX3fDza8MReR+BXB/vRTlvflODJM/zVkaEj3PH+jJyjW5DxNYw5D5JzVvywSHHvPHGs0nWLs2vrpoQSJuOCNMkpGnCEhduguV7npeCXMcW+fAb5s7/MkTcpXme1xCIb9x5MsCm4H0aD57npXY1TSf5JdPWmc4AthuaViiKoii9RMKJ1YHKgvK8t3CD9E8pqun2Djie52UinaHWep53LlLdGrMjVxz5GSd2tkfs+r7neb8OxFuJiPVcz/M+dmFfHd46+NaNSVv3BUiyhlZjd+brllsQz1aQqZ7nPR1hxxjga8AfPc9b78JGIUL2Ts/zyoPxZ5dMy0Y8iwCTZs2b/9ZuHHsKItDibaMKwJwZ5U2IgMydObfo466Wu7tUTcyfgHjml+VXV+3XW+UqiqIoSnegHawGCE5YbXPr/3bLrmSxDvE+BvPcESWPyF7zU5Aq/E8C6f6yLLTolFVm47ctMMYOoy5p46tPpL35rUC6oUc17//1fVqz/phh0z7z2KDXtgL/jXJcaxAvcjBsHW1jKEayx+Osep7XTNcnVIhlQ2+gX6SKoijKXouKVaUzJiLe0x8D3+ogXh3iQd0cDPQ87z2i96Q1Y+3wnRvjW0du9jyvIpDOLgst8nvxpniet3B3jO+E3hZx0dr+9QY6VJaiKIqy16JiVekQz/Ped8urkDagcyKi/BIRQ/nAucQ/0USkgIqWbohbRna82hMG8gxWvX68BaUFE4HxldMrd+lUpyiKoijxoGI1cUho75frOHa353kzkM5dfvgP3fIziFhdEmeW8YjVwRHL7qAvz3Nf/8d9Ub7fSa2vj11RFEXZS1GxqkTjOGT0gl3wPO/IGOGPe5431IsxcH4cJC0LLSoA3skJF/oewJ72rPYV2gxAURRFUeIk3ipbpefpC0FxMjLhwE5cb/w33WaXphjsolAdFbF9GjLO56WBMF+s9pRnta9EnIpVRVEURYkTFasDGM/zXkLGDI0Mb0UG0T+hB4v/XIzwowPrPSFWg/RVr3wVq4qiKIoSJ9oMIHG4AZkitLeJ2unG87xdRGwvEfyA8kVqTzUDUM+qoiiKoiQ46llNEKYU1TzaR0Un2hicQwPr2gxAURRFUQY46llVEk2sfnVZaNH3gVeQaXDBeVaXhRZlI1PM1gImJ1y4YzfyH4hiVcWxoiiKsteinlUlETkbOBCZkADaPKsfA9Vu+d5u5p0IYjW9l8tTsaoovYQxZrgx5mFjTLUxpsoYc7IxZqQx5mljzBK3HOHinmqMedsY86ox5qBA+ieNMXrfKopDPatK0LNa0tOFLQstSkHEaEdEfkSNWRZa9EMgzW2PjZH3IBfnMqAgJ1x42Z7Y2gP45/oJYFwvlqsvPUXpPe4A/mOt/aIxJg2pGfoRsMBaGzbGhIAQcC0wC/gCkAt8x23fANxirU20Wi9F6TPUs6oEH4gf9EJ51wCPdxLnLxHbpwK3d5RgWWjRZcAOYBPwa+Dry0KLJkWJmgie1ew+KldFq6L0IMaYYcDpwD0A1tpGa+1G4LNAqYtWCpzv1puADETQNhlj8oDx1tpne9FsRUl41LOq2BjrPcVBPZTvHwPrS4H9EA9uRUS8XcTqstCiUcBdwA9ywoXLe8i+vkRFqqL0DgcCa4A/G2OOAl4HrgTGWmtXAlhrVxpj9nHxbwV+D2wHLkGmr76h161WlARHPatKUKC2xoq0LLQoeVloUczrZVloUdKy0KJkt563LLTo3WWhRce6bbMstGiki/q17jA6ouyREUH+iAKTokQPCrdhbvkVZFzZn3WvZbAstChtWWhRTnfn20VUrCpK75ACHAP8zlp7NLAVqfKPirW2wlp7krV2MiJ0VwDGGDPPGHOfMSZqkydFGWioZ1Xp0LO6LLToQGAL8F+kc9PnI/aXAIcAU13605FZqA4Drl0WWvR1ZJasX7n1bmNZaJEBzgOmR+wa7pYHuXipwAygZHL2RX9Zs2Mp7258AUvrgtkl00aXHHCt7+2Nq3retbv9A7AQ+AHwcE648KcRcZJywoWtwFzga8tCi67oIL/DgIsRsdyInLtmRESHc8KFuzuFrY+KVUXpHZYBy6y1L7vthxGxusoYM855VccBq4OJXGeq65F+A3cBNyLtWK8AftxLtitKwmISrQ23896lAy3IC9v39qW4X7L7BdeTOwk3QAPSPsi6fFsC5TRG+TUBI4CGnHDhVieMUnLChU2uI89wV9amnHDhZme7QcYGbQH2B0YiX9abkarpVKAI+CAnXFgVOOYRwKj3p166BODQp+79IfAG8CxQgEx7erSzeykiDjOBlW7/3xEv4Rb3a3E2J+eEC1vcOR0KfAYRleGccOF7AJ7npbhj5ZSmQ684rCUnGRGlzwBHAa8BG2kTgA8Dl+SEC3csCy1Kc+c1yO+Bb9E7DEbOr8+PgFvc+mtAHpADeMAPgwkXrfoHa7Z/QpNtpOSAa/+FtCnbApzonxvY+Z9eDPwPeZH8FRHB/42w5UrkP/sQuAoR0V8BXvUjbGhutRtbrBmWbBiVklSIXJuVyPkeg7ysGoBfBPJ9FXlhbQaW5IQLG90QXkciTR0OcLb9D7meN+SEC5uChlVNzJ8IVJGauWJo8W8uB45DrtGnkZfmUsQLvRy4HOnw8Xtggdu3FbgIqarc5LJdC7yWEy7c7s5REnA4UJcTLtz5Ip5071E2o3UQf188ewzSqawJWO7fM+4cH4TcK+8j19lw5KW/GWjOCRe2Oq+9yQkXNrvrbgiwweU51J3LbcAKd44M0tluCNIhbwjy/253x94a8Wtx+aW4/yLZnc8Md8z1Lj1uX1JgmRQjbINLY2L8gs8s/5eEPKO2OruSYvx8bMQyWph1v+Cx+uvBdJEfNR217+6OuLvbfryjl1a8L7Ro5XVmd7Sw7Tnhwm3tIhizCPiGtfZ9Y4xH22gm6wIdrEZaa68JpLkUyLLW3mGMeQTpfJULnGOtvTrOY1KUfksiitX9gE/62o4ImpAXiQHWIy/WIKuQF1MObQPZR7IDeZBmuO165CXbjOvl/v7US0mvP4D9X75xT+1tAV4GTgLWIS/fSD4BKlppHfen9IXHA3y+4URG2p3mNyHiOhavIeIko4M43YEl9ovsS8BDge2DgSVu/QbiqNb/z7I/cXbO198HDg0EfwWZhvZC5H+d3wV7t9J+EoNmRFg+RvT2uksRwbUe+Tjyz3kDIkCLAnFfQDqPzQVGReTT4NJ+ANQBRyBDfFXYhi3ZjUuePCdlwklNycPGp7LrOW0ABgW2P0SqJDtjBSL+JtD28deKiMxWYHsTzfumRq/AqUXula3Ih11H+KINV16Ss7eZ6LVDm5CPOa05UnoaLydceFMwwBgzCWlDn4bcS19DrtmHkHvlE+ACa+16Fz8TKAOmWmubjDGFwN2I0+Qia+3iXjoWRUlYElGsDkOG8Ah6HQxy4/oe0ZaI9c7CQF5uqS4v3/u6A3mIpEX5DUI8ioORF5/v5c1GXtJrXdhIRIRkufAVrpwPEaE4wsXJc+WWIZ7RwxCBkuLKWduSsm24NS3lKU1DPwLORYTKa8h4ow3IQPnprozxiNh9GxFtK5096c5Gf6zSdUgno1WIV3C0WwLQil37p/Ty0QDnNB59//jWkQ8hQucid7xfB/6NeG7zgDdpL36bEfH0Pbe9GBEi84E7A/E+QryAXWU1sE9g+7uIEH8c8Uj6Ym5LTrhw6LLQoi8g1fOfR6rqfaYCpyBe1mj8BfhqYPsXRHhjI3gJ+RgAaWJwIDLSgc+vkf/lupxw4V+XhRalLN7R0rC11Sbtm5rE2NSk7ci1mA78GakqvAv5X69G/tcG4ATgc4hXfD/kP/8YuA7xujYg1YTfRjyjw12eVYhHMdO2NtebpJR9bWszJinlMuBR5LovQq7DI4H/INf8cznhwreWhRYdgHjtJyLXw1+Q/9D3YuYh//kmV1YS8JY7DyPc9tCHRj05fUPKJr696oIrkWswDRGnBch1PwR41+VxCHJPbHTnIRO5l1JpmyDCb49ch1yHn7j4rci9Oh4R8n6NxlbkXt1E273se4KDv1TkPm1y8ZtcmVuRaz/L2ep7KFvY1UsZ6bEd5crza4dsxC/4zAo+u5JcuqQY+frpO/JQRi6TaPPmRh57R02B4t23u3G72sGzIw9sZ/s6sylaWGdxXskJF74cJY6iKN1IwolVpftw1f9JOeHC5ojwA5GXfOsf0xeAvAwx1hx+40037jLY/rLQoixgUE64cPWy0KLzkV6rDwCnIU0K6ly8k4DFOeHC9a7a9lakavwBRFDdHIfZH9DeA/m8K8dnWk64sGxZaNHDSHW1z8accOGIgM2fRgTYOiA/J1y4Zllo0aeQqu9oXJQTLnxwWWjRXET4BakEzkRe9Pu631PAP4AXcsKFt7syjcv/YFdmu+rBOTPKm10efHZ4ahIinj4NPBEZNxqu+v8y4N7IUQtcu9cVODGXEy5c6uwxm//1nfzkUQe9Yxs2rTr01fJeHTaroLTAAlROr9R2s4qiKMpuodVk/RjXwWeXHv454cIPd254C3aKCGuif7jkhAvrA+uPIp45kParwXgvBdZbcJ7GZaFFHyFewKeBc4B21WYR+G1Qfc/Ry7QXqxvdcllEuuSI7eeQ9oLfzwkXrnE2PbNo5u8uXLzp1QcPG34KK7fVkGSSOG702R8D5S7dNYiX6zCk2m4csCgnXLje7V+DeBChbaxE/5jtstCic5C2lY3signGdfb9I0q8qLiPgqiCP9DOdmNEGbbq0RbTsvZ9aKtlUBRFUZS9BhWrAxzP86zneT1aRqCa7FXgVTdY/+diRPeHk7oCaaP5DlKl7zch2OiWQ9sna7+dEy7cHiUOr6wtexvghdWP7gw7/4835wbSbQK+N7tk2jeBDbPmzZ8b67iiEdm5KYK+HipuYHk3vaxc4GO8eq0+UhRF2Yvp65enMjB5oYN9+7rleznhwjechzIP6egEbWL1Qbc8p4tlD+s8CiC94f/exbwTlYElUgG8rJOQNrbf6GtTFEVRlD1DxaoSpLc8UDEnH6CtV/pKP8BVZ/s9Yje5sKdzwoUGeBLphHVXnGX/q2um9gt8sTqQPIz5bnlKn1qhKIqi7DEqVpW+oCOx6rM+Yvs84LPB8Tlhp5DNzgkXXh5n2QNxRpiB51lVFEVR+g3aZlXpC2KJ1f8gQ25BhFh1A80/Fi2RE6zdxuySaf1V3PXX41IURVH6MepZVYL0VjVxS5SwS5FxSZ+GTjsqdSuzS6a9MLtkWnDg/7TeKruXUJGqKIqi7LWoWFX6gmie1f+5Kv7z6P2q+pOB4sD2LqMI7OWoWFUURVH2WrQZgBKkt0TNwihhNQA54cIdyMxifYmK1f7DQD52RVGUfoF6VpVeJydcWO168gfDEqmn+hB/ZXbJtNS+NKSbUMGmKIqi7LWoZ1UBeB84lIE1tNEuzC6ZlgEcBxQGggfPLpm2CZgO/A0ws+bNb+gL+5TdYkBf04qiKP0B9awqA4bZJdM6G97qWmSa1uCUpoOBEuBPQBWwY3bJtEM6KCNjT+3sAdSzqij9HGNMrTGm0hhTYYx5zYWNNMY8bYxZ4pYjXPipxpi3jTGvGmMOcmHDjTFPGmP0eaEkHOpZVQYSd3ayf3SUsF8AuW79QLc8gLZJCphdMi0J+CZQCfxvdsm082fNm59Ikw/oy0dRBgaTrbVrA9shYIG1NmyMCbnta4FZwBeQZ9t33PYNwC3WWq2NUBIOFasK9CMxM7tk2higeda8+RsiwgfHkXxmlLCLooTt9J7OLpl2ELDEbS51y5uJc6Ysf0zXWfPm9+QLwv9/03uwjESl31zbirIbfBY4062XAv9FxGoT8hzLBJqMMXnAeGvts31go6J0iopVJche90XtxF7qrHnzG936cmSq1v3d/pHANuD33VhsUPj+NrC+n1sePrtkmolTgL4ArEGG7OppRvZCGYqi9A0WeMoYY4H/s9b+HhhrrV0JYK1daYzZx8W9FXkmbgcuAX6JeFYVJSFRsaokLLNLpqUD5wAPADmz5s1fG9g3CrgGWAvcPrtkWh7iLUgFJswumTZk1rz5W4B1LsmybjQtKFbzY8QZB6xwtkYVrrNLpg0HTnLrg+LpuDW7ZNpQIAvxGI6aNW9+RYx4qYgH5V/nduBdjGZbF4T23kB/OQ5F6YxTrbUrnCB92hhTHSuitbYC9+wxxpyOPKuMMWYe8hydZa1d1Qs2K0pcaAcrBeAmgMzaqkwnoNoRnH7UX59dMm2wa6vZKbNLppnZJdM+N7tk2sSO4kRs/wbYCPwVGATcO7tkWnCygK8gYvV2t/194HOB/ffOLpn2amA7Jx5b42Tw7JJpE2aXTHsb58GNQq477seB1tkl055s2PQALY3vB+McGFg/rKMCA+fnL0hzgwXAm7NLpp0YiJMyu2TaJbNLpg0Dvgz8DHi7PH//G1sMrBmawV2fPzvYhOFA4KPZJdNucduh2SXTvgG8P7tkWjiO89Al3PkY0cH+o12zCkVRuoi1doVbrgYeAU4AVhljxgG45epgGteZ6nrkWXGj+90HXNF7litK55hEa0vtXmY3uk3ThV+0+CBTe7YiHpZtwBYXlomIoBS33Rzxsy6PRpdPkoub6n5DkTY/DS5Ok1saYIRbDkPG7GwI/EA8cxYZ/H4HUhWzDPGYpbmyMoFaZ1sGsMkt93N2GGTIqXddmjxX1nik0fxIZKD9LcAbSI/2scD9rswWV97B7njOBEa543jUxclx6c8CXgP2cfHXAGNc+a+7cmvd+VzgyqkFJrk8DgSmuvN6rivj7ZIDrvW9nsz76DZ/9R9I56Xr2JX3kIfqO0hnpr7ir4hH92q3/TPaqtBeRGbEegb4VLTEqYOn0dqyJrtlx8uFwN8Duy6cNW/+vNkl05Ld9q3AiUA98uK5mdidxOqAfwLfRbwkg5Fr5DWgaGcsa2swZgtyj92GDFkGUg34g4g8q12+7yMvtFzgp8g1eDDSVvdFoAw4xdn2KeS6egVIefjM5YussVywMOdp4AjE4/wu0lTjNeBI5LoY7fJodWk3Iv/zScgHgX+tbEGug6cQr/YOt380UOGOu+ngoWvzh6XuuGhTU3rVks2j30Du11XO5nogGblPz0Duve3ItboZub6b3K/VxV3v9o1H7rftyP09DLkvP3Rhacj9lBb4+dsGue8HI/fKDuSZ4ec93JWVidxTO9zxbna2dPS8ywiU0YxcnwZ5lvjLZHZ9RiYF8kt2x9vg1uN1ZrQSfVY6G/GLDPOPIbiMFtbZcm8hlr0dHUesfdtmzZv/w52RjBkMJFlrN7v1p5F7dQqwLtDBaqS19ppAukuBLGvtHcaYR5DamFzgHGvt1ShKgpCIYjUHeZlFe7h19ouMD20PXUPbS8DQJh6b3XZK4NfRQPD+S2yr+w2i/QsJYIMrfxPysvHjDHL7t7pluvsNQV7wzbQJ2kbkZRrJercvCRGPkaxDBMYmRFCkIS/Uj93v9Ij4HwPZyJBN/0TGGb0UeVFmuHLWIOLhQ2fTCcCTiLgY6o5xCLFZB3wCHB0MLDng2p3r8z667TVE5PrtPle7dPnI+KYXd5B/ZzTQdu73hOeQ87cVWASc7cJnANPcLw83G1eAEmBenGWMQ8TfBuRF0xnrid0W9UzghaTW1g+MZUJLclTt8VVEuOYh/+M/gIeRNrRTaPP++mJpB/AyImA/BcQcxsunOamVlNakLcATLt0JyIgKByP/8SqXfyki2M50x3SE2/8Ubfdtlksf/D+3IoIum7aPTFJMC0BTs01e7vaPZdd75h3kwysdEa1DEOHrPweSkA87/wPCuu0U5ON3M3I/5tAmLFpdWPAj1he+Sc7eBldmmjvWYch/3uLy9Z8tQ5B7zG+yFet5t8PlaQN5Wto+1Ftp+3APpmsN5NXi7BtE+4/8jogUvMHwzpwJwWMILqOFdbbcW4hlb0fHEW3fxlnz5h/sbxhjDkS8qSDXyv3W2puNMaOAh4AJyDP4AmvtepcmE3nWTLXWNhljCoG7kev1ImvtYhQlQUg4sdrTuOpUM2ve/GiegMh4IDf+zgd7T7Tlc2UNRx5ANhCWSZuwHg1sdu0w/XSjEDHXgAikHbPmzd8Wkfcg5CW+fNa8+c2zS6ZlIy9D/3i2RrZRnF0ybT/aBPVBwKsR+4fNmjd/kys/eda8+audvclI9fNY4BjgHuSF/MysefN3zC6ZNgcRPzXAuJIDrv28n6c/o9XskmmFiDftGUQgP4D0yD8YEcg+tcDxwE/c8kBE5GQiHrsgdwBX7nLiu0bzrHnzU2eXTCsBHozYdwHS+3/QrHnzt8wumeafq48Qj/LHtHnoozEKuBCYE2XfHEREjgVOQ7yXRwGXAYfOmjd/8eySaYcjzSC+jgy1VQYkzZo3fyHA24cfXmisfQ7g6SMOuMIa8wIyVM0K4IeIGDoNeGPWvPl1fsHuP81DPlD+4uJ/eda8+asCcS52x7gQEfJPIh81JwAb3svd9LdhW1PJWZNxzKx5898MHpi7ztZFXrOB/fsAW6Jc09nIdfkWcn9spc1juR3I/Erum5fuk77lDmMoxau/NJB2FCIAG5HnwIpoZUexZbg7T3U4UTdr3vzmwP5BzpamWfPmt8STZ0T+/amdsKIoSrcy4MSqkjgsCy3aefFFTr8aietsdQvi+RsLvDlr3vyP3D4DZM6aN3+r2z4O8Sz54jaMjC/YFX4PfCuw3TBr3vz02SXTJgFvRsSdOmve/KcDtq5APKRJOz8+LrzwJ8lpE29qbarBtm7AJGdjW+oAPpg1b/7Brv3vq4jIb0bE3zjg5OAHiss/BRg3a978pYGwDEQ0/8M/Dz5VE/NPBZ53m6n51VXN9BIFpQUWoHJ6Ze9W2XpZX0MmcrgXr/5rvVq2oiiK0q3oaADKXsGsefN3IN7DaPssbZ5gZs2b/xrA7JJpJyPerk+ALyIesUOj5RFBHtLmrxqp6j7XpQX4IEr8jRHb+cA+QU9Z+vBvzQVusrYQf4KY5oZ37mre9tTtzuZW4FgnvIfMmjd/cyzjnEdvaUTYdsT7GY1o7QEHCr1+vLmhsnSA2nDxjt4uW1EUpT+iYlXpt8yaN/+lwObBs0um/Y3OxeqyWfPmf+jWfz27ZNo/kSYHrS7PLbNLpoG0CR7m4tVHlFsfGeanD85kmDLoiOVX/vmKSNFpkXaQ3Umfi9WC0gJTOb2yN6tx+rLKaKNbDsRJGBRFUbodFavKQOJ6pE1tNN5AquC3R4T7VfDBdohjEU/u95D2tEvZPZIjA+bMKD8VGSEgf+bcokjB2x30lWc12KGmv9MdnfkURVEUh4pVZcAwa978j5xXNBrfQ2aTihyYfwPwb+BXgXz8sQpvc794iNYVfxexigyDNQ4ZlWFBnHl3Rp97VvuAgXKciqIo/R4Vq4oi+J7TdmLVtSUt7ob84xWrfrwu9yjvgEQQq31V7kDx5iqKovRbdAYrRRH8sXWjDqPUDcQrVv2w7rw3B7JYVQ+roijKXo6KVWWgMwUZzP9l4HfIIPk9QbR7bficGeWXz5lRHhRUvljN7CE7BopoVI+qoihKP0GbASgDnXcCbVC/24PlRBOrM91yMW1jwvrxBndj2QPZs6ooiqLs5ahnVRno9JYHrqN7LThVbXKUsD0lEcRqbzNQjlNRFKXfo2JV6Uuu62sDaJsrvafp6F4L7vPFak95VvuKRLBBURRF2QtRsar0JfEO+9ST9Lhndc6M8jxkSKpYJLl4OUSI1Tkzyk+bM6P8xD00IRE8q9pmVVH6KcaYZGPMm8aY+W57pDHmaWPMErcc4cJPNca8bYx51RhzkAsbbox50gRnTFGUCFSsKn1GTriwLwTFGcB3Atu9YcM/iD0ZAcCDc2aUfxWZXOBIF+Y3A1gEvDRnRvnqOTPKfx4rgzkzyvefM6M8Ow5bBopYVRSl97gSqApsh4AF1tqDkfGiQy58FvAF4Ee0PYdvAG6x1uoHphITFavKgGLWvPnPIYP/+3RLM4A5M8r3mTOj/AdzZpRH67R4VBxZ/DJi+0tzZpTXBbbHAD+OUu4Vc2aUX4VMCbsyRt4D0bOq4lhRegFjTA4yFvUfA8GfBUrdeilwvltvAjKQ0U6ajDF5wHhr7bO9Y62yt6KjASiJwOt9WPZuf837Q07NnFtkgXuQIbDeBZ5wojWLtnniO2NMxPZBUeI0R5T/GPCZiLDxM+cWLY9It4tYnTOjPBU4eebcoufitE9RFCUavwGuAYYGwsZaa1cCWGtXGmP2ceG3Ar9HprW+BPlIv6H3TFX2VtSzqvQ1xwKf6sPyo3pW58woN3NmlM+fM6O8JMq+C+fMKP+0S3uHCx7mlke75a+AtcD0brR1c8CGA4kQqo6iKGHBzlq+cL0NeHbOjPJju8+8DtE2q4rSzzDGTANWW2vjcjhYayustSdZaycDBwIrJBszzxhznzFmbE/aq+y9qGdV6VNywoVv9GT+c2aUpwODZ84tWhcIDgonGxE/H3gC8ZQWA8VzZpQvmjm3aIXbnww8EEhy+ZwZ5dcREKtzZpTPoW3M1nu67WBga2B9Wow4RwN/dV7f04ChZySl/LM1KZXU5u3QduyFbnkmcXi258woz0K8IA8A1wI/nDm36O0YcX8NfBq4kpN3BpuIODlA/sy5RU+77WRgFHDAzLlFL3dmj6IoCcGpwHnGmHOBdGCYMeY+YJUxZpzzqo4DVgcTuc5U1wMlwF3AjUAucAVRmjspikm0Ns3upeVXidrAr4W2+dJNxDJaWGdxkgI/CzR2Mf9YYT6+3U3IFJ4NM+cWWVc9PMj9UpCq3abAsgVIA5pnzi1qmTOjPHJYo3RgHOLVa3DxW4ENwEi3fzAwwqXZ4fa3RFm2IF+2TbR9uIwE1s+cW7TDlZ00c25R85wZ5cOQKUmTgaaZc4s2AMyZUT44cA4PQdpnVrsy3gT2Bb4EPDVzblGFS2OAfGdrHvA9Z8MfgMcRj+ELwGVIp6NkF3878j/tB9zsjnONO7/JSJW7oU2ATgDuRUTbab4Iml0ybZKzjUFZ373TJKVPAO4DHkHaXX2NXUmfObeowXkiX4uyvzdYPnNuUc6cGeWVwBFR9jcB/wa+CISRzgwMathAw6ARnL7o+6S0NIzJr65aO2dG+bvAYcAbwHnBpgOuiUAx8CwwFZmw4DJ2bVd7JXLey5HOEkOBXwOv+hHeH/MyraaFnI0T7x3aOPIXtF2PFUgzibORa+ZG2mbt+inSKQ3gnZlzi1rnzCgfjzSNOAT5v18FltB2vbZ/kHlZlwJ/3tg87qG/rb37r8AByLXxP2ATsAW59pqAi93+fyCdRDa631SgHrnumt16JW3NMZJdumXuuIYBW36Vtb05GbiyPmMEcs+kAFtnzi3aFDjHhyD3+QrkeZcB1Ll8/OdBEtDqrrt05J5ehdw3Q91vO9JW2X+u+OX5yxTkfmiN8mtBvPWDnS3JSMe+ZHeOtweOPRYdecwTdV9kvN3Nc28k1vFEC48Vt37m3KLtu0Q25kzgB9baacaYXwDrrLVhY0wIGGmtvSYQ91Igy1p7hzHmEeQDOBc4x1p7dbwHowwcElGsTgA+7ms7eogWos8H35f4L63UQFgz4sUb5PbVI6IzyCfAR8DJyIsuGuuQF7if92q3nRSRZh0itqO104yXLUh70ROA5UBOlP1LgOrW5uUTGzfPOxpg0PArMCauCoZtiJDepVlAL/Mp4Bm3vgb4NvBPt+0L/aiMW/kia0YfObs5dfBHiDcjyKHItTAL6awV3gMbNyIe3gVIVV+Qzci5HIYItO1uGYv/As8h3pbIe2cpMB4RoGmIgF8DLB+ctG7M+LTKQz5qOLGhyWYM6sRe62weEREW7WW90tnrN61IpU3MpSDnMFbzqlUu3TZgnxhxorHNldnfhJOydzJ95tyiv0QGRojVUcBDiMPgE+ACa+16Fy8TKAOmWmubjDGFwN2II+Iia+3i3jkMZW8iEcXqUMTTYSJ+ye7nGxy5jBbWURzfw+i/XAYRvXq4o/xjhQXtTqWt92Mybd7BHc4G3/vhe0KSafN0prg4xtlpEW+q3+t7kLM9BalCXY+IzG2I+LOBOP75SwosUxHv0jDkRQridRqPvFSbne3Dgbec7S0u7BREED7vymxExOASRKg0AZOdHX8EPocIopUu77edDc2I9xPgJy7tM8BXELHzkttXAVyECOfFSHXRJ4jIyAAuRDzOPisRr+EvkOvpm/6O1ubVNG6+T05g1swfmKRBrwDnAT9wx3EKbd7TNBcWZIs7d74IqnHH8RRweSDeXGAGXecD2gv3LyDXwMPAe4hHFLd+GiLWQkh71SsD6YYiTRpOi1HOnch5jMUnyMvG5x7Ew/oWImbHIB6R8W7/9cjxXjZzbtFTc2aUj6wYt2BdzegKTvvoi01jt+xfg/z3+yH/x7PAb5Hr8XvIf7sZ+eCYBkxEmisMBRYCcxCPeA7yn34LeAe5rtYjzRn2ATLSTf3QBjtkQkbSps3bWkdc4OINQzyzOYgX53nkf1yEiNyj3LFMdDbej1zvg5DrYALSy3kD8uFlkf8+D/l/1gPDFqU3Xd8MTN6R+n3kPmhCPMAHIdfOUHcca5Brdg1yb42lvXfUfz6McOnWuOPb5rY3I8+Vccg12hAorznwg/Y1Sf4v1dmy1aVtdXn693imW3b2gd3RSyRR90XG290890ZiHU+08GhhC2fOLXq/G+1RlE5JOLGqKLuDa14xEhEbLcH2lHNmlO+DeCD/DBzVuPmRxtbmj54CSEo7LP3qv97eEMhjyMy5RRvnzCg/Ddgyc25RxZwZ5WuA0S67BkQsGkTw3AZcPnNu0YtzZpR/ARGUPpcjYqyrPIAIc5+8mXOLPpwzo/w1pEOaz7Mz5xadGTjOHwK3Az8HbnTV57PYtfreJ3/m3KJq18b0qoh9P585t+gGl+9wRCR9CHwf+PvMuUUfuX1JiJd25cy5RbtMfFBQWuA/YFZWTq/cd86M8kHAfjPnFn3Q2Ulw+U9AvPePzJxb1Bixbywi4AYhzWzaOst5WZfuaB3652Qa/5r609Vfjaes7iI3VGYBasPF6glVFEXpBrSDldIvmDm3qBnxdq2Osm81bTNILZtd8iu/xz6tje+1BOI144aamjm36PlAFl9AvIj/BjIDnbVqgOMC8f6JeAQ/i3gOIz2ynbEQqYL/J+KFO96F17vl1oj4ayK2f4t4zO4JCLdfn/zST36Z2rSVrYOzsSTxxjGzzkG8kkvcsV49Z0b59UinsAcQL/07fqYz5xZtpG0IrtuDBbpyvkuczJxb1IB4juON/wni4Y22z68N2KX9HEB60mbovel0FUVRlB5Cxaoy0OlUzESMRRpVGLl4FiibM6P8TaR69QHg/xCxmRWHLV+cObdovVufP2dGue+V9MXqR8DpiGj1O7YFy99BxBS2M+cWtVZNnAlA1qZaAIr+O/Os/Oqqz0fE24o0mQDpMKQoiqIoCYGKVWUgEnPoqu7ADXN1EcCcGeWjkTaE9R0mEjZFC3QeX5D2qH9x+T2HtLncHb6PGymgF9H2RoqiKMpuoWJVGYjsFKuz5s3vURHlNxmYM6M8VpSHkaGmgqLU514CkwrMnFtUjwwTxZwZ5YfTfi5uRVEURemXqFhVlL4lZjOEmXOLvkb0MV+ZObfove42pGpi/mbg7vzqqmu7O29FURRF2V10ulVF6R02xwhPiA5AVRPzDTIg/DWdxd1NtBmAoiiKsluoWFUGIn0xpNB/Y4S/hcwQ1dedmgZ3HmWP6CuxqsNHKYqi7OVoMwBF6R0iPaivIuOwvjpzbtGezBbVXYzoPIqiKIqi9D4qVhWld9jFszhzbtHLfWEIQNXE/Ebgz/nVVd92Qf1VrGrzA0VRlL0cbQagDET6omo40URTKjIxgM/wHi4v0Y5fURRF2UtQsaoMRN7sgzL7pCNV1cT8/eKMGs+kBXuCtllVFEVRdgsVq8qAY9a8+c24qUZ7kV4Xa1UT8zOIMVVpFIZHpB1UNTH/wqqJ+elVE/OH7k75BaUFmbuTrptQT66i9GOMMenGmFeMMW8ZY941xtzkwkcaY542xixxyxEu/FRjzNvGmFeNMQe5sOHGmCeNMfpRm+CoWFUGKicDk3qxvEjx1C1iqmpifkbVxPwnqibmfzXK7ifjSJ9UNTH/r8CPI3bdjkwXWwVsqpqYnx4j/VAnaqM97M/vrPweRF8+itK/aQCKrLVHIc/ys40xJwEhYIG19mBggdsGmbXvC8CPgO+4sBuAW6y1+nGb4GgHK2VAMmve/HXAul4ssqcehscAZwNnIFOxUjUxPw2ZkrUwjvQ/B74SDKiamB+0NdctxwM1gThTETH8EPAlZBzZsoi8E2EMWX0JKUo/xAnMLW4z1f0s8FngTBdeigwbeC3yTMwAMoEmY0weMN5a+2zvWa3sLipWFaV3+Bsi6jqlamL+acDU/Oqqn0SEH+jy2IF4BMYAo93uDBcnHdjuwuqA7E6Kuy4em4CdTQGqJuZfCvzZbZ7ilp9iV7Fqo61XTcyfAbyRX131SpxlK4qi7IIxJhl4HTgImGOtfdkYM9ZauxLAWrvSGLOPi34r8Hvk+XgJ8EvkOarsBahYVZReYObcoscAM2dGuS/advH4VU3M/yUiOr/rtn+XX121MhDlB7RVX4E8oEcF0p/jwnw6E6pdYagrw9AmVAFy3LIoSpqgZ9W69LnA74B64hyBINBmNh1ozK+uqo8RLwk4DXgx/8KdwdocQFH6KdbaFmCSMWY48Igx5ogO4lYAJwEYY04HVsiqmYd4XWdZa1f1uNHKbqFiVem3VE3M3wfYll9dtSXG/tOBicBb+dVVLwfC04Eh+dVVa10npSJgEeI9fCpWfhF57w88AdyaX13118j9prU5tWpi/kH51VUfuPj7Im2qgqyomph/dn51ld/2NC9i//tAUMz+uzO79gBfMObG2F/gzlsDcD9w4fTjTPjDbMMrhxoa0nZqxuPcMqtqYn5yfnVVS0eFOnH8IiJsm4F9qybmjwC2AYMQQXwaUtX3feAXQFPda1l/GHtsPTs2pA7JaJ/fIcBvES/Ls8A0YBVwNfD7/OqqhZ2eiS7gBHRKfnVVY4x9RwGL86urtnZnuYoykLDWbjTG/BdpErXKGDPOeVXHAauDcV1nquuBEuAu4EbkuXYFu7bdVxIEk2jtit2L6OYou6J5SGJ5TTrzpljaPFvBpUE6nZmIuCAvxa6eLIN8ECS7pQnk0xoopxn5srOu/Mhf0OZoP9/maMsW5MW+zZWRhXjvGhFh4YsFE7HE7WsOxDnEHcsWF9bqlknAMMTzNdGFr3T7tgBbkepqv3f4BmR60XcRz9xm2qqza5wN2UiP/UOBkc7ubcALyOxPhyEicgdwNHCwS/c6sBT5av4xsAkRJ43AEGCcO45BwLGBc3ufyyPDHcdBwFpgLO2pAz52x/Y24tm8HWkj9SRwoktzgyujCRFoa4B15WfOaQAYuvmTpuNfvy3V5fmwy2cyu/I/xBO5BOizSQSA2cj5uNVtr0GaIQAsR9q0zkU6MIwJJnzqaMM9U5Nq593WchjS7CBY9XZSfnXVy1UT8w9Fzu1vkGtsHPICeR64tAO7ngKmAq8ARyL/3VrarieQ87YOuAXxCh+MvMAepf1YsyDX5PtuGUY6iZUAExDB/gEicjc5O/+HiOXRyAfNsB+e9p2/G2u5/X9zn0TE6D6I4N4A1AIFyHV7qDvGrcBLyH1TjVyXQ5D7wudN4B3a7pf9kDZ6HyNCPhm5P4Yh17Pfhi8J+MiV1+xsOdrZb9z2auTcNwXKS0Hu3SZX1ia3PsT90lyaBree6tIEn3f+MilgSwttz7/IZbJb+s+c5kC4DYQ1OBuHubKNO4fbad9p2H+md/bz40Y++5XoxHoPduX92NF5jrXvk/zqqp/vjGTMGKDJCdUM5FlwG9J+f521NmyMCQEjrbXXBNJdCmRZa+8wxjyCtGfNBc6x1l7dhWNQepFEFKvjiT0OZjRju3rjBB9QJiLMf3D6v+D+3R05oZm2h29QECcFbExBHuY4G4I/P05HD9tg3MhlCiLABrsy6pGXWhryYo8mzIN2+i+gJERINri8kpCXiH9e6pGX2WKXPtvtG+7KX4O8UEDEZx7y8m92+fuep7SI89eEvOQ3unRBEdLgbHgdESjpSIcjfzamp93+oog07wL5iHC5BxG1n3dlDHfxtiPCog4RxmMR0XMi8bENEVBnBgPLz5wDwLBNH3HcG798GRF5flX6Ito6RX0ZmEN8M0vV0z3jpHYln3MQzzHADESo+jwGvEdbL1xakiC5rVHAJkRo+Pjpt+Pa3kawjfYfOquQj6JoTATWmuTWmuRBrVnN23apPGoGZiIvteEu7Emk/dpXgLOAfV14K3INr0aE4gak13GkhzsWdYiwXYa07R0MHI4I3q0u/Fnkw+hY5D44zIVXufi48JNpe0aACFaLnMcmd1zpLty4sEa3HvzgakWu/wx3bKuQj4uxyL2CS9Piyjfu+Ie6+P7HZxNyj6e6cvwP7uAHbnA9KDz951bkx7X/AR8UvckuvXHrqbQ9IzYjIhxnawZtzz2/jI4+8oNOC/+YE+uFmHh01UHk/wfR6OhcR9v3Tn511dSdGRtzJNKByn8PPWSt/akxZhTS8XMCMnTfBdba9S5NJtK2fqq1tskYUwjcjVzDF1lrF3dgk9KHJJxYVQYGrsf6BOBD5OXje05GuPWtiAfqPb/a3VUJT0Q8lTWIeGzNr66yEXmPRF6kVfnVVbZqYv5E5KXchFTJbqyamJ+UX13V6uInI1/jryFe10OAB/x8na0H5ldXVVdNzD8J8douRx6QhwE3IZ7AAkQErUeE5nDE8zXEhVF+5pyRAOnb1668rPRL+1ZNzE8BvomI0+sR4Xqfs38m7b2QK4EvAvci3kGA4915eyPiFL+BCPeuUAYUB7b/ml9d9dWqifnXIl7GIMciAsa4svx2pNch5yAfEUXReA04F/gM8rEQyTmIV3oU8GnE2/o55Fx/xv2ng4GfAlchntU0YFV+ddUbAC3XDf+GSbF/aN6e/FDN/LF/Rz6AZwDP5VdXPV41MX808n+9kF9d5XvqcP/HSOS8XoN4RG/Ir65qCsT5MiLuaoADEe/vWsSLWjf7mJKXRm3fxKVVT2TlV1dtCh5Y1cT81GBekbjyW2Jc08ORl28GIhqT3HHvcOckarMK1+bX/+BsjtXmN0q6JCA1eH4URVH6AhWritJNRBMiVRPzsxExsREg0MHqpZlzi06OkY9x4uNiRLguQzxK38uvrnrYxbkBWJlfXfVHt20RT5PftvRVRHB1hR8h4i8V+Wi4P7+66uKqiflnIG1Cg+TkV1ctD9h8C7A5v7rqVv8Y3t2Pv/znuKSvHLTCMnQ7m4retn9FBPhP86urbnQfH1OQargtiKD8KFob32i49Fn+uW2HlzUdEfXg1fdq1W5uqMwC1IaLtUpZURSlG9AOVorSTUTzmOVXV9XtRj6+oP27W/4zv7pqe0Scn0UkG41UtW502/GMcdqIeOYeRjzZv82vrrrVeQ7/Rlu18HtR0rbrtJBfXfWjyGP4UmnBPOArL0uF/bCZD1V+r2pi/s9x49u643zG/bqMS79xd9IqiqIoew8qVhUlQXE9yP8WZ9x1AFUT87ciowIMjyPZz9xvWX51VbBjgV+VnOTyXlM1Mf9ypAPD+y4sZlV2lHyCdnZZvO8m6tVUFEXpJ6hYVZR+RH511RDY2VHxe8DltHXUicTv1NYcEf6WW/4rkO9dLt/P0DZrTGdoGyNFURRlj9ndHu6KouwZPSrk8qurludXV11HmyCNhl/N306s5ldXVSPjzO7i1c2vrpqfX1313zjNaNcUoaC04JOC0oLMWJG7GfWsKoqi9BNUrCpK/6ajQfdTYsXppkHqIwX5fsjYor2BilVFUZR+gjYDUJT+TWQVf5BX3PJ/PVR2NO9xamRAQWnBz5Bhu5Irp1fG0zEsHlSsKoqi9BNUrCpK/+ZDZMzWINcBafnVVU9WTcwf14udniD6M+d6txxM+1mb9oRR3ZSPoiiK0seoWFWU/s357DrMVDiw3pNCNVozo108qwGG0n1i9bZuykdRFEXpY7TNqqL0Df/XG4XkV1et6Y1yYnBqlLDxBaUFZ8WIP6QnjVEURVH2TlSsKkrvsghonjm3qLSvDekFfhIl7G/AUwWlBdGG0xoaJUxRFEUZ4KhYVZReZObcotNnzi3qqCp8r6GgtOD4gtKCqFPGFpQWzOokeUaUMBWriqIkNMaY/YwxC40xVcaYd40xV7rwkcaYp40xS9xyhAs/1RjztjHmVWPMQS5suDHmSWOMdgSNExWriqLsLv8BXogcO7WgtGB/4JedpM1wcYPt5oe6sEMKSgtGF5QWnFxQWqAPc0VREolmYJa1Nh84CZhpjDkMCAELrLUHAwvcNsAs4AvAj4DvuLAbgFustTpxSpxoBytFUXaXkW5ZALwMUFBaMBzYJ4604wtKCxqA6YGwIQWlBUm4KV0d1wC/CCYsKC0YC2wFLgAqKqdXvrlb1iuKonQRa+1KYKVb32yMqQLGA58FznTRSoH/AtcCTcjHeSbQZIzJA8Zba5/tXcv3blSsKooCgPNingeUV06v3ByxbybS3vbnwM2V0ytfDuzOBV4uKC24EfDiLO7FKGF/AO6PCDs2wo4UoA55EZzpgtX7qihKr2OMyQWORj7Wxzohi7V2pTHG/2i/Ffg9sB24BKl1uqH3rd27UbGqKAOcgtKCAmAOcCfwd+BuYGZg/77AXYEkE4BJge2cgtKC7xC/UI1FtE5X2wN2HAVUuM0zA+FDKqdXbuks84LSgqnAd4EvVE6v7GhmL0VRlA4xxgwB/gFcZa3dFKv5qbW2AmkugDHmdGCFrJp5iNd1lrV2Va8YvRejYlVR+oCC0oI0oKlyemXMNkuuStwCpiszOxWUFlwGjKycXvmLTiMLPwUKkep8gO8WlBasrZxeeaPbnhQR/6iC0oLXAtudtU/dE4bFUU4h8ARAQWlBDrC6Mnq8ryJVdcfhmi10REFpwWjga8C/3PKnldMrt8eI+0Ngf2A2hKNFoaC0IAtIq5xeuSYQlgKkVE6v3NGZPYqiJAbGmFREqP7NWvtPF7zKGDPOeVXHETG+tetMdT1Qgnz834jUSl0B/Li3bN9bMYnWvtc9vMdGBMeq5osWvjeGJaI9je5n3a81YhlcH4S0x8lE5pmvRzrv1QMb3XoyMMatB/OOx5bhwDhgi0ufBqxD2g0d6Mo/AMgBPnHlJrtluvslAQ0uzZKA7Ukujw+D3rbAdTjKpX+3cnrlVrdvtMt/okt7NPAm0o7yH4hX8izgxsrplW8UlBaMc7ZMdudnKnC1i/8D4Cngi0AZ0ij/dSDPhb3k8v8Iad85Clju7G4F1gQFb0FpwYkuDcCxldMr36iamN/uPH/pupQaZHD+byJV+7VEb2eaVDm90haUFlwJ/CbK/t5gQeX0yk85r+qdwOlR4vwEmA38EbgI4HsbNpLRavnqps3g1RuAgtKCD5Hr5H7gm5XTK7f5GTghORF4DxHni12eFwfKWQH8DvEs34Ocv8XAu8B8F2fTjlXFw5JSNpM26rnPAR8AS5H/7XnkujkW+Bzy/+YhHTZuBv4NZFVOr3zP2bSPK2sfxMP8HvICHOI303B2b6ucXtkUOJaxwDHAkcgkC7XOjgzgIMRJcQiwL1AOLHP5NjnbtiD3Z4Mr9x3kehuM3AvDgU3INT3IxU9Hrqkkt0wFNlVOr9zgbDLu/KYi1/0w5H5f47Zt4NcCbANGIM+Utc72we63Hbn/k2m7vzNc3tadzya3HOTStAI7nM3bkWeI78lPcXkFn3H+eiwSZV9PlBWJibHe0b7daZoTj017Ilg6sqkze9dUTq9sgJ2isxRYb629amcGxvwCWGetDRtjQsBIa+01gf2XAlnW2juMMY8g7VlzgXOstVfvxvEMKBJRrO6HCA6lf9CCvAgSiTXIiyoDeXFlIi/ceuTFleR+wSk7WxARuRz4DLFrJdYCo916qytrrFsPjr7xiiv7jD04jnWIiE1HplU9L2L/ZuDpz7zUumb8Ovu1ordtGsCXrotq+gpEvARZCzyEVJ3HYgs9P5h/CTDPrS9GmgJ8yW3XIg/8qNy5ag1XjB1zIfBpxDvqsxE5X/sA30b+py/vgY0fIL195yAfZUGWIeLI/yDYgAixWDyO/LeXRtm3HOnMUY4IzhxE7K1HxNkbwNlEb1IRxLp08fx3m5F7ZHfu463Ise9AhyZT9l7OqJxe+RyAMeY05CO/Enmug9z7LyPPywmIhrnAWrvepclEnBFTrbVNxphCpLlVI3CRtXZxbx7M3kgiitUhOO9IBF35suwvYX1VtkFeMGlu3f8lRSz99R2IJ2Q7IuKGITfxcES4NdAm3HxvR1oUO2LZtx3xTg126ZsRT+s+QI3bvxz4GHlQZLp8slzZ2xCxOQR50Z+LiKyViGhYjHicfA/MGMQz8wwiGpqRquNpbt9DyMNoDSKW3kOGJskCTkaE6B+RRvS5iMg9GHgaEchrKqdXPlJQWjAI+K3LsxJ54M128VcgHYnuQB5yg4FvIB7cje74I8UpwHOIp/E+RMgAUPxKK9MXyHP1S9elnIP0uC9FqtBBBM5/EIFazK7V5JFidrUL2xzIA6Qjwbei2NVVapDzfB1y/n2FfR/igbwf+JWz+zC37zeIp7q5g3xvQqrfYrEQ8YCDXFN/RbzdP0bOSS7ysfJZ5P+5E/g68PnK6ZWVBaUFBzWsPWNJ8+YCBh9w10LkGjkCue7OccdxAyJg70e8so2I97zQxS1G7pE/AY8Bq5APniLaroHxyHW7GBGR2cj9eAZyDdzl4qU7m49x5bzklquRj7MTkFEd8pD79T+Ih3KQW45xedYh90Ijcv0NdvEbERG63a23IvdOk8s3B3k+DKHt2h3qyrbIPZxJm2fLuHM0GBH125CPxm2I8N3mjmkU8j/vCPyaAulTnP2NLp1B7r0sl94P9z25LbR/tnUkzHfXQ9fd+3qirGCc4LM41npH+3bXe7uncXrC21xWOb1yZRzlKz1EwolVRRmoFJQWpAarc+OIfyLyUv80InYfBFpc1f2Xge8h4vFE775mDlvKDIAvXZeS7LeBLSgtOBpIr5xe+WJBacHFwFu0NaUIkoOIwj8gbTPPqpxe+UxBacGTSLMGn68jIqur3ANc5m9UTq/0q+7raN8s6BdI9dl+ldMrPykoLbgW6W17eOX0yiqX5udDWlt/PLq5hdq0XeZfSK+cXtlQUFpwEW0jD2xDhNhn/WGw3NixKYgYPwZ4w29u4doSXwS8VTm98p3IAnJDZRagNly88+VaUFqQFG+7Y1eNP8pvDhCxz3TUzllRFKU/omJVUQYAVRPzZ+E6KOVXV3XqoSgoLfAfDN8HqJxe+WsXfjpwIXB55fTKloLSgvOBRxAP9iBEuD7VRfNaEC9dKlKdHRSrO1y+Pt/3bQnYOshvT+a2zVsffdLqt7koOGBCGiK0D6mcXvn3QLxk4Hjg5e4UgNHEqqIoirL76GgAiqJE4wSgrnJ65dJgoGu39Vxg+1HAFJQW1CIe13iqykK0dZk/DljtDz1VUFoQGfcCpDPS8UgV+QeREYJC1W1bvKzgdhPiMX4rIl4LbZ3RFEVRlARFxaqiDAy65OWrnF75ahfzfxERq2s6i4i0F/bLeT1i31ICw1VVTq98HHi8oLTgCOA2pE1p1/CykvHqdVxVRVGUvZSkzqMoiqJ0ymXASZXTK/3BrTsSlR213cwjyjBaldMr36mcXlkcz+D/Ubh1N9LsFrmhsqzA+rCO4iqKoijxoZ5VRRkY9Gj7STdmqT+CgD9G7fIY0WO2D+1KB7Mu8Bngmk5jdQ83R6xf3kvlKoqi9FvUs6ooSrfi2oJ2JDp9sbq2F8yBHhbqEaQH1gfFjKUoiqLEjYpVRRlY/K+Xyok21qk/Ret/kfFtD+glWw7Fy/Ki7vGyBuFldaeYbY2xriiKouwm2gxAUQYGviB7oZfKiyZWF1ZOrzy+x0v2sgqjhN4IeBHxhiHjyf6I7mvXuruDoiuKoigxUM+qogwMfLHaWwIqmljtrbIvjjNerltO78ay1bOqKIrSzahYVZSBwTxkesndmV1qd+i5oaK8rCS8rCM7iBFvtX62W0bO1rUnqGdVURSlm1GxqigDgPzqqtr86qoh+dVV7/dSkT3Rq9/ny8BbeFnn7bLHyzoX+FbUVF7W03hZZwVC9nPL7hSr6llVFEXpZlSsKorS7bjpSyNFYHd5Gke55flR9s3rIN2ngIcD275Y3dwNNvmoZ1VRlB7BGPMnY8xqY8w7gbCRxpinjTFL3HKECz/VGPO2MeZVY8xBLmy4MeZJY8xeNxW0ilVFUfZWxu9c87Ky8bLuovPhsFKjpM9weRi8rOF4WcfiZeXvpk0qVhVF6SnuBc6OCAsBC6y1BwML3DbALOALSAfS77iwG4BbrLV73bNJRwNQFKWniP+B6GUlyzJiWlQvqwA4EqgF9sOrf5C26VizXJw0YGWcJWXgZR0MDEcmLiCQ39+AiwJx23sfvKwRwHHAeuDzwPV49ZHHqM0AFEXpEay1zxljciOCPwuc6dZLkaEBr0WaYmUAmUCTMSYPGG+tfbZXjO1mVKwqitJTRAq5XcWrl/UbZPzVrwFDgBMjYjxB0IMKD+KLVBiKl3U8cFoX7VocsX0IXlY025Lw6lt3rsPbQA6wGpkS9lHg1YhU0T2rIqiboohbRVGUPWGstXYlgLV2pTHGn676VuD3wHbgEuCXiGd1r0SbASiK0j14WZl4WZfhZWW4kI6FmXg4rwT+ChQBJ+Bl3YOXFZz5aXxEGgtMdluHAa8Av9pDy8fECB/myhyMjG6Q48L9l8HkKGl29ax6WROAbcA39tDO6IiQVhRF2Ym1tsJae5K1djJwILACMMaYecaY+4wxYzvJIqFQz6qi7ClShd3a614zL+sgYD1e/Xq3nQScA1Tg1S+PEn8Q0n5pf+ApvPr78bJSEVE1Enke1AEnARcCjyGdmK7Hq4+nx/wMYDbyYPxx5M6CHQ0H42V9F/gjXn0j8OkoeXwdaXd1fwflHBOHLd3BcGAjcHCM/acAvtf0d0DqEP64bivpWPED+NfDZ4Fk4HrgD52W6mWlA08hEzicDTyGV/8TN4lBOtJxbT+8+g/wsq4BbsPLWgR8Fa++Fi8rFa++KZDfwcgICb/Eq1+Fl7Uf4qiYDPwTr35TfKejm/CysoDNO73WiqLsCauMMeOcV3UcUvOzE9eZ6nqgBLgLmSAlF7iCKM/pRMUkXDtbL2skcHtfm9HDdNdJT6R8LOJ9SkJETwrygk5GBohPQTq3pCDVEltp74UyLq4fx8+zs18GMNilWwM0uvKWAGnAUKR6eYiLtw3p/d3ofkORNohpiGDbBGxxtmQAx7py/Jf/NmA5Ml3oSGA0Ip42AR8427cBDYjHLtPltRioBCoQ8VMPHOTifYTMIz8ceA8odGlHAhuAtxCRMw042eV3GpDnbGoB/ox4Ar+ECKyfIL3dM115Y4GjaM9TzvY6dx72d8ca2VO0zh3TGndexwBXIWLnfmCis+16F/8N4JKC3P2exZjRfiaXbaznqg07Ne+fga+6Y4nk/xCh3Io0A+grLkfO/SxEcAbxz9OdwLnIf0m9Hby5maShX228jndt7m216V/+NeL5/bJL9zBwNXINfRFpRjDHbR8E5AMf4gvhXVmDXEunAs8gbdWCTodNbvs55KX1OPKCGgu8DjxNWwcMkPvwVeSaeR45919HrvthyHWxEngJ+d9XOhuOCOQ5GPHajEGacxyE3E+fIPfWB8i114Jc4we58l5xy9XIdZiM3A/G/aqR6y3b5TfYnfctyLVhkXs9A3nuDELEfKNL14I8F8a5X4MrI8udp/XIs8iPR6D8sci9l+TOwzAXb5XLP8nFS4ryixbu272dtmehf59FLiPXrbPLf676tm4j+njG/jPYf/76NsWio+d/K23n2l921IkwcjvasXVGd/RU39M8EsEGgNfx6ue0y1TarM631h7htn8BrLPWho0xIWCktfaaQPxLgSxr7R3GmEeQ9qy5wDnW2qu7wcZeIRHF6r7IQ6y/0l1DRiRaPknIg7EFeYH4y1bkwdmMCD7/5TI4StktgTi+bZ39fOHbjLwsUxCB5rdrbEVeEptd3AzkBZyGvNy2uO1W5OU1zO3D5VnhlsmuvCGISFyNvLjqXZwhyFz3fqP2DLd/qzs3hyAdhYLibAdtL6AgmxHxsh4Rw4cE9m1HXggvAO8jVeEFLh5Ib9ECRGy00naO30PE69cRAfM4MBV58frH2wIsA2qA4915+R8ijOLlJcQzyxkTxrM+ue1wL924qXHWho1PI0Lb/38eoK1TUx7wIm3V7HGV00W2IdeHz1vsKuJjsS8iykA8yLMC+/4ATELOWzRqaZsxC+Bd4PAOyvoQ8VCDCM/9kOsrko9dmTnIx8caly7YlGKVs/cW2q61/wJ/B4qRj40DaU8dMrLCDld2tCrDaB82ryPitwGY4NIehHzANLj8Xkc+jHxBfCDSbnmjs9vPdxJynWx1abe5fUNpux/9j8NWF2c7ci/6Ez7g0vsfhC2IUB2KfAymuzz8j9FByP26ypXdjNyPmxCRONaVHRRvLewq6iJ/ycgzL9OV1UT7j3UbsQyu+0K8mbbnKER/hvrp/Gew/4v1ou/o+e8/YyNFeKy0kWI78pi6Ija6y4HSl+m7I48n8Oq/7W8YYx5APlBHI9fojUjb+YeQ++0T4AJr7XoXPxMoA6Zaa5uMMYXA3chz/yJrbWT7/YQl8cSqouwpXpZBxuLcBmyPWT3vZRm8euuqwpvduu/hlRdMsDo1Ml3X7ToAeXm/hHhmt7g9mbS9eAuA5/DqtwfSFSDV8a8A5c6uHRF57w+k49W/79qMTnbx5UXs1a+L6DA0GKmG/zfiQdyMVz83wtZDEQE0HRGtK9y5uRz4AW2C8wPgbrz6X+NlnePy3EWsnrFt+7N3feeDM/GyRiEN/z8HnAGc5/JLARYinmWfpYgnINgsYA4iyiM7N+0OPwF+Gth+GbgG+BlwekTcZMSTugZ5Obznwk/Bq38RL+sCFx6NG4Ewci5/H7HvdWR0gSTk+jgH+DVwAbAOr75t7Fgv60bk4+FipDPaO3j1tW7fIETIjEFEle+9fQqv/iNX/Z8DvNyuCl6u+STkeihBXm5/33mNy/7zkA+zJkQ4LXbnYSIibA934f/p8r3hZaXg1e86Pa+XlQIMwavf2KX8JK3/QdIItGjHNkXZu1GxqijK7iFtD4/Dq18QCEtB2kc+c9Z++x5Ql5x8FcacDWCsvfXtS9/5USBu6i4fA17WU0BwlqnL8ervcuL5Q4lTb1z73N2Z0vVl2o84kI94dL+HtA/9El793/GyvooMAxOwrT5yKKtzgEq8+mVuO+nu5vP+dW/zp6cNNds4LemdB25KLX0I6UT2Xbz6qkDaHyPNQtYA7+9sd6woiqLsgnawUhRl95BOVwsiwpqRaiaeFu/bkwWlBRbARk6aEs1rLe0mz0K8qxOQqmqQ5gllyHAs4NW34mXdjHhe5+6aTUz8RrMPIN7Cj/Hqq/GyLnThQ9zySaSpx1qkqcWuePVPRGy33h4qexuYttqOoKZlfM1NN9/5KFJNF5n25i7YrCiKMqBRsaooSiJxO1IFXdUuVITttIiw6/GyRtM1seq3uSvFq/9yIPxe4CuI5xW8+lXAWOfBXY5U/8eDzmClKIrSzahYVRSlt+h8lA9pi1vVabw2/GGX6mlrQ9sRfiPaiJmy6hcQrbOJtO0c1wV7ggJVh2ZSFEXpBnQwaUVReoXK6ZUbuz1TGa/1B0ino0/iSOE/83pKSKpnVVEUpZtRsaooyt6NVz8br/5dZGzS8zuJfZ9bvt9D1nw+xrqiKIqym2gzAEVR+gcya9dyvKitAdYgnabuAe6NOlRS9xAcO/XIHipDURRlQKFiVVGU/o9XH5xooKeEqqIoitIDaDMARVGUOMkNlWXlhsrSY+w7NJ4wF56eGyqLp0OYoijKgEfFqqIoPc1YZEax/sBGZDavduSGylKQuewjqXb7Ivmfy0tRFEXpBG0GoChKj1I5vXJ1X9vQzRwTJSyvg/h57NqhK1oeiqIoShTUs6ooihIHuaGyXcdhlfB9gYM7SHpwbqgs6lituaEyfQYripLwGGPONsa8b4z5wBgTcmG3GWPeNsb8JRDvEmPMld1dvj4oFUVR4iPNX8kNlY0MhC8HHu8g3ePAikDaYJOIod1mnaIoSg9gjEkG5gDnINNPX2SMOQo4xVp7JJBsjCkwxmQAl+Km3O5OtBmAoihKBM7j+U3gQWBfpBo/KCz3B9bnhsrGdyHP8bXh4uXAhEDw8NxQ2WbgUGAlUAL8vjZcrBMKKIqSKJwAfGCt/RDAGPMgcB6QZowxQAbQBPwQuNNa29TdBqhYVRSlv1EAVHYUITdUdiwwE/gpcBVwU224eEMgyhnAXPcDmAosCewfkxsqOxV4vgt2LcsNlZ0GDA6EDUeE6pOBsPeB/wZsHQ54wG/cck5tuPjVLpSrKIqyJ4wHlga2lwEnAv8A3gQWIFNeH2+t/WlPGKBiVVGUvR43RNTa2nDxOqAujiRPAGOAo5DOTqNyQ2WzasPFfmewyAH9nwJqA9tPsntEitsF7DpSwpE4sZobKtsHuBX4OjDZ7fsSkBlPYbmhsmHAiNpw8ce7aa+iKEq09vrWWns7cDuAMeaPwE+MMd9APu7fttb+vLsMULGqKEqPkxsqGwScC6wHnotVzZ0bKisE3gUOAd6pDRdviSPvZGTYqI3ACKA1Spz02nDxDreegghVaOuV/xX38x/K0Ybayu3Mlt0gWjnBsFWBdV9AZ+SGylJqw8XN0P7YovAhIsQH1YaLGzszJjdUlgkcAXwAHF4bLl7UQdzTgZHAE7Xh4obO8lYUZa9lGbBfYDuHQDt8Y8zRbnUxcIe19nRjzIPGmIOttcEaqd0m4cSqe5Hs12nEjunt9l5RewknSJo9SQdt59IGfv62QTrpmShlNLtfSww7TAdhkes+ycg1m+zybQAaXTlp7jfI/XBxfOEyyNm8xaVrcvuS3L7hLt9N7mcQ4bMG2BZRdhrSfnEo0lZnE21jZq6pDRfvcG0eBwNZwDBnyzZgq/ulujK2IuIkGVgdOLZ8INulwZW5HnlAHOzKPRYZw/QNZwNu/2hX5gRErLxQGy5e45/E3FBZKrCv723LDZUNdXYMdmmGOBuWAatqw8U2N1S2n7PldODTzr43EW/j74FHgYOQNpcVzsYWoBDYDISASc6EK3NDZTVIY/1S4AZX1v6IoN2GeA5fzQ2VfR6pglrizsdad46tsz0ZqcYHaf85qja93TXnsz03VLbE5R/P86Uvx4WNp+xjc0Nl64B/I6MN/AZpX7uiNly8FCA3VDY6kNcPc0Nlt9aGi1vdPoMI9tGIJ3o/RBjPQ/7jBmBQbqjs38DHyMvpZ8B0xCs9GrjX5f16bqjst8j1swC5hpcgHTEecevnA9925RyHXJePAwuBwbXh4mXOpgnAgS6P5ch1sRUYUhsu3uRszwVWBgVybqisAGlOcQByjaxDBPdY5F5odfszkPtlHXKvDHFpWgO/jcBbyP2egdyr6cAO90tDrtF0Z6f/TGhFni8bkXvbIh84mci9MCyQ/ybank3BZ+pIl6//rPWfT/Xu55fl/1JcPk20PXOT3C+Z9p2oI5/luLSNzj7Lrs95/5mXHIjvP1f9d8Dusrel3dvs3dO0S/0PYuBV4GBjzAHIfXkh8OVA3J8B30LuleC1ElcNUDwYaxOrHb97KX7S13Yoym7SgLzQhhHfg2JPH/iNBHqpd8CbiLcyjbYX2SagBvHYrUTEYOQH7EJELEyLCA/avY42UdSMiJ7IjkcNwB+RavfT4rA3Fq84e6pcuSHkAelTlc26eS+lX+4FE+XuuD9aXi3IediICLaJbnkX0G3VV7vJ9cD3kP+kCunklYWc386cDJ9HhNmlbhnkZ8h/lY8IteP3wMZq5Pr4Fm0vKJ86YB/axNJG5IMQ5FpIpb2QehwRaWdF5NOCfMSNpe0jyP+42uby+Qg4mviI937zr409IZ7/SlESlQn+hy+AMeZcpN18MvAna+3NLvx84Chr7U1u+5eIQ+Nta+3F3WVMIorVwcAX9yCLPXnx++l356QkcprdTRf0fpoo2/7Xtb8MpvM9kSkR+6Ktd7bfL9f31PovEt+TmoKINt/T2kibV8J/4exw20NcGt+zaV26epf/UNqE5kbE+5QeUXYj4i3cDGxHXsLDXDmHOrvqETFY7+L5ntZMt/TP2RDkZWyRl3uTO55liEfKn9qzEfE4jUDEy3bgPcSLdJg7piREJK5x5dYhL/dPIZ6td5APwWTkRb+/+y1DvLQVwHxndzpSHfwDZ9t9Ls3LwGsu/0+5/E92+xcCDzg7nkfE35+QqvYna8PFr+WGyoYA/0S8dSMRYfVbxNv1NuLJegzp+DQV8fLVONumEd3r+CxwG+JlJJMdvJf+9XYRcnfcPwERPMGOSVchD9+HnL13RuRbDhRFKW8Hbf9LdxOtzMuR83ABcCXwS9oE+vHIx0FHH/hnI+fzhCj71gFlLp985L9ZgIjazyDHeiTyH17u9q9H/vcv1YaLV+eGyvIRL/mrwPeR6/J45DqejlwfXwNeQATuM8h9diJwqls/3x3TL5DZvVoQgX6ai1OBeHc/RsSp/2GV5o7rPqQdcS1yP45Brt9ViAc1FfHmNiAe/izkftqBeFGhzSM5DrkfNiGiuBm539KR67PRLXfQ/pmQ5PId4dKkI9fuRle+X2MznLZnTOQztd6V6W/7z6csl66J9s86XxAnuzJ8T6vv/Yz0gEbWgvnP0WTaP+ejPXMtbd7aoJDfExGxt6Xd2+zdk7QP14aLt+5Bud1KwolVRVESB9fW1MbT3nE38k4FDqwNF78fEW5c0wMDEKjyTwNuQUTCZcAfgD/Whos/cfvLgZOHsnVBZfo3i/386m3mpqybVma5OEmIsK2oDRf/LTdU9llEqJ6IiLYg6cDhwOtu+xtIT/1nae8V/AMyzFVHRIvjt/l81G0fi7TXjWx/ei7iUT6tNlz8r9xQ2YWIeAwFqvXDiOd8sYv/ESL2X6gNF09xcSYg7XJnAvcgguMm/78Nnm//PwgakRsqmwjU1IaLu31YGnedJdeGi7d1GllRlAGHilVFUfY6ckNlSb5QC4RlACm16V/22w76nIdX39Gg/eSGyg6h/ZSoZbXh4mlun/+QHFQbLm7MDZU9j3j7fL4IPNyJyZFxXqwNF5/iBGIrQG242Ljy5gPFgbiH1IaLu9xJwbVFbq4NF2+PCN/l3CmKoiQy2p5GUZS9jmhia6co83Zp1B/PF3mtW5YibUWDaX4KTA54l89Dqsz9YajWxpF/MM5pSFW578V8nvZDWpUg1bBzgK8iVd9dpjZcvDlGuApVRVH2KtSzqihK/8LLSkLaJ+7vQj6DVz+/s2S5obIRQH28Yi7gcT2KtnaPsTgSaZO704MaR/5JQFbEZAWKoigDDvWsKorSv/DqW4FcvKx/Ix1/4voi3wNRGE973i6PQ+pEswpVRVEGPEmdR1EURdmr6anqo+8i1ffxeGJbXdzv9JAtiqIo/Rb1rCqK0l/Z02HsOqQ2XPw74HduIpMnkCG9boiIdhMytFJtbbi4sCftURRF6a+oWFUUpb/yBDLG6Ac9WYib5eXc3FDZuVF2v1QbLvZ6snxFUZT+jjYDUBSlv/JbYB+8+sW9VF605gbag1VRFGUPUc+qoij9E6/eIrN5KYqiKHsx6llVFEVRFEVREhYVq4qiKN2DNgNQFEXpAVSsKoqidA8qVhVFUXoAFauKoiiKoihKwqJiVVEURVEURUlYVKwqiqJ0D9oMQFEUpQdQsaooitI9qFhVFEXpAVSsKoqidA/VUcJ6a0ICRVGUfouxVj/8FUVRuoPcUFm7B2ptuNj0lS2Koij9BfWsKoqiKIqiKAmLilVFURRFURQlYVGxqiiKoiiKoiQsKlYVRVEURVGUhEXFqqIoiqIoipKwqFhVFEVRFEVREhYVq4qiKIqiKErCktLXBiiKovQjzgBOcOuv9KUhiqIo/QWdFEBRFEVRFEVJWLQZgKIoiqIoipKwqFhVFEVRFEVREhYVq4qiKIqiKErComJVURRFURRFSVhUrCqKoiiKoigJi4pVRVEURVEUJWFRsaooiqIoiqIkLCpWFUVRFEVRlIRFxaqiKIqiKIqSsKhYVRRFURRFURIWFauKoiiKoihKwqJiVVEURVEURUlYVKwqiqIoiqIoCYuKVUVRFEVRFCVhUbGqKIqiKIqiJCwqVhVFURRFUZSERcWqoiiKoiiKkrCoWFUURVEURVESFhWriqIoiqIoSsKiYlVRFEVRFEVJWP4fWc4i9/vKTKMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Waveform as a function of causality\n",
    "for causality in range(0, 110, 10):\n",
    "    offset = causality / 100\n",
    "    h2 = offset + hifi.transform_causality(h_inv, causality / 100)\n",
    "    plt.plot(h2)\n",
    "    plt.text(h2.size + 10, offset, f'{causality}%')\n",
    "plt.axis('off');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# dB reduction of pre-echo as a function of causality\n",
    "causalities = range(0, 100, 2)\n",
    "dbs = np.empty_like(causalities, 'd')\n",
    "for i, causality in enumerate(causalities):\n",
    "    h2 = hifi.transform_causality(h_inv, causality / 100)\n",
    "    p = h2.argmax()\n",
    "    caus = (h2[p:] ** 2).sum()\n",
    "    acaus = (h2[:p] ** 2).sum()\n",
    "    dbs[i] = 10 * np.log10(acaus / caus)\n",
    "dbs -= dbs[0]\n",
    "plt.plot(causalities, dbs)\n",
    "plt.grid()\n",
    "plt.xlabel('Causality [%]')\n",
    "plt.ylabel('Pre-echo reduction [dB]');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Phase distortion as a function of causality\n",
    "from scipy import signal\n",
    "for causality in range(0, 110, 20):\n",
    "    h2 = hifi.transform_causality(h_inv, causality / 100)\n",
    "    phase = signal.detrend(np.unwrap(np.angle(fft(h2))))\n",
    "    plt.plot(phase, label=causality)\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Power distribution of the chirp\n",
    "x = analyzer.chirp\n",
    "y = np.abs(np.fft.rfft(x)) ** 2\n",
    "f = np.linspace(0, analyzer.rate / 2, y.size)\n",
    "r = analyzer.freqRange(f.size)\n",
    "plt.loglog(f[r], y[r])\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Play some tones\n",
    "tones = [0.4 * hifi.tone(440 * i, 0.1, audio.rate) for i in range(1, 12)]\n",
    "for tone in tones:\n",
    "    audio.play(tone)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a missing fundamental of 20 Hz\n",
    "# https://en.wikipedia.org/wiki/Missing_fundamental\n",
    "tones = [hifi.tone(20 * i, 2, audio.rate) / i for i in range(6, 22)]\n",
    "for chord in np.cumsum(tones[::-1], 0):\n",
    "    chord /= np.abs(chord).max()\n",
    "    audio.play(chord)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "audio.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0rc2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
